es
Publications by Anatol N. Kirillov
- On Q-deformations of Postnikov-Shapiro algebras.
(with
G. Nenashev)
{\it S.ANiminaire Lotharingien de Combinatoire}, 78B (2017), Article n.55, 12 pp.
Preprint RIMS-1875, arXiv:1510.05374.
- Cactus group and Gelfand--Tsetlin group.
(with A.Berenstein)
Preprint RIMS-1858, 2016.
- Bethe subalgebras in affine Birman--Murakami--Wenzl algebras and
flat connections for q-KZ equations.
(with A.P. Isaev and V.O. Tarasov)
{\it Journal of Modern Physics, A: Math.Theor.}, 49 204002}, 2016.
- Bethe's Quantum Numbers And Rigged Configurations
(with R. Sakamoto)
Nuclear Physics B 905 (2016), 359--372,
doi:10.1016/j.nuclphysb.2016.02.020 ;
Preprint RIMS-1834, 2015, arXiv:1509.02305.
- Rigged Configurations and Catalan, Stretched Parabolic Kostka Numbers and Polynomials : Polynomiality, Unimodality and Log-concavity.
Preprint RIMS-1824, 2015, arXiv:1505.01542.
- Construction of double Grothendieck polynomials of classical types using Id-Coxeter algebras
(with H. Naruse)
Preprint RIMS-1823, 2015, arXiv:1504.08089.
- On Double Schubert and Grothendieck polynomials for Classical Groups
Preprint RIMS-1820, 2015, arXiv:1504.01469.
- On some quadratic algebras I+I/2
:
Combinatorics of Dunkl and Gaudin elements, Schubert, Grothendieck,
Fuss-Catalan, universal Tutte and Reduced polynomials
SIGMA 12(2016) 002, 172 pages;
Preprint RIMS-1817, 2015, arXiv:1502.00426.
- Notes on Schubert, Grothendieck and Key polynomials
SIGMA 12 (2016) 037, 56 pages,
Preprint RIMS-1815, 2015, arXiv:1501.07337.
- Bethe subalgebras in Hecke algebra and Gaudin models
(with A.Isaev) Letters in Mathematical Physics, 104,
(2014) 179-193
Preprint RIMS-1775, 2013
- Some Remarks On Nepomechie--Wang Eigenstates For Spin 1/2 XXX Model
(with R. Sakamoto) Moscow Mathematical Journal,
volume 15 , Number 2, April-June 2015, Pages 1-16
- Singular Solutions to the Bethe Ansatz Equations and Rigged
Configurations
(with R. Sakamoto)
J. Phys. A: Math. Theor. 47 (2014) 205207 (20pp)
- On some combinatorial and algebraic properties of Dunkl elements
RIMS Kokyuroku, 1795, 1-44, Kyoto University, 2012
- On some algebraic and combinatorial properties of Dunkl elements
The Korepin Festschrift, World Scientific (2013), 171-198
- On some algebraic and combinatorial properties of Dunkl elements
International Journal of Modern Physics B, 26 (2012),
No. 27n28
- Affine nil-Hecke algebras and braided differential structure on affine Weyl groups
(with T.Maeno)
Publ. RIMS, no. 48 (2012), 215-228
- Entanglment in valence-bond-solid states on symmetric graphs
(with H.Katsura, N.Kawashima, V.Korepin, S.Tanaka)
J. Phys. A 43 (2010), no.255303, 28p.
- Nichols-Woronowicz model of coinvariant algebra of complex reflection groups
(with T.Maeno)
J. Pure Appl. Algebra
214 (2010), 402-409
- Paths and Kostka-Macdonald polynomials (with R.Sakamoto)
Moscow Math. Journal
9 (2009), 823-854
- Relationships between two approaches: rigged configurations and 10-eliminations
(with R.Sakamoto)
Lett. Math. Phys.
89 (2009), 51-65
- Braided differential structure on Weyl groups, quadratic algebras, and elliptic functions
(with T.Maeno)
Int. Math. Res. Not. IMRN
no.14 (2008), 23pp
- Combinatorics and geometry of higher level Weyl modules
Moscow Seminar on Mathematical Physics II,
Amer. Math. Soc. Transl. Ser. 2 , 221,
Amer. Math. Soc., Providence, RI, 2007, 33-47
(with Feigin B., Loktev S.)
Preprint RIMS-1495, 2005, 15p.
math.QA/0503315
- Skew divided difference operators and Schubert polynomials
J. Pure Appl. Algebra
SIGMA 3 (2007) 072, 14 pages
Preprint CRM-2526, 1997, 15p.;
q-alg/9712053
- Wonderful Amoebas (Japanese, with T.Maeno)
Sugaku
58 (2006), 151-164, translation in
Sugaku Expositions 22 (2009), 107-120
- On some noncommutative algebras related with K-theory of flag
varieties, I (with T.Maeno)
IRMN 60 (2005), 3753-3789
Preprint RIMS, 2005, 25p.
math.CO/0504290
- A note on quantization on Nichols algebra model for Schubert
calculus on Weyl groups (with T.Maeno)
Lett. in Math. Phys. 72 (2005) 233-241
Preprint RIMS-1481, 2004, 8p.
math.QA/0412069
- Hypergeometric generating function of L-function, Slater's
identities and Quantum invariant (with K.Hikami)
Algebra i Analiz 17 (2005), no.1, 190-208
Preprint RIMS-1463, 2004, 18p.
math-ph/0406042
- Exterior differential algebras and flat connections on Weyl groups
(with T.Maeno)
Proceedings of the Japan Academy 81 (2005), 30-35
Preprint RIMS-1469, 2004, 9p.
math.QA/0407291
- An invitation to the generalized saturation conjecture
Publications of RIMS Kyoto University 40 (2004),
1147-1239
Preprint RIMS-1452, 2004, 69p.
math.CO/0404353
- Noncommutative algebras related with Schubert calculus on Coxeter groups
(with T.Maeno)
European Journal of Combinatorics, 25 (2004), 1301-1325
Preprint RIMS-1437, 2003, 23p.
math.CO/0310068
- Torus knot and minimal model (with K.Hikami)
Physics Letters B 575 (2003), 343-348
hep-th/0308152, 2003, 10p.
- Generalized Umemura polynomials (with M.Taneda)
Rocky Mountain Journal of Mathematics 32 (2002),
no. 2,
math.CO/0010279,
2000, 10p.
- Generalized Umemura polynomials and the Hirota-Miwa equations
(with M.Taneda)
MathPhys Odyssey 2001: Integrable Models and Beyond,
in honor of Barry M. McCoy (ed. M.Kashiwara and T.Miwa), 313-332,
Progress in Mathematical Physics 23,
Birkhauser, Boston, 2002
math.CO/0106025,
2001, 19p.
- A bijection between Littlewood-Richardson tableaux and rigged
configurations
(with A.Schilling and
M.Shimozono)
Selecta Mathematica 8 (2002), 67-135
Preprint Hokkaido University # 441, 1999, 66p.
math.QA/9901037
- A generalization of the Kostka-Foulkes polynomials
(with M.Shimozono)
Journal of Algebraic Combinatorics 15 (2002), 27-69
math.QA/9803062,
1998, 37p.
- Cauchy identities for universal Schubert polynomials
Zap. Nauch. Sem. POMI 283 (2001), 123-139
q-alg/9703047,
1997, 16p.
- Introduction to Tropical Combinatorics
Physics and Combinatorics 2000
(Proceedings of the Nagoya 2000 International
Workshop on Physics and Combinatorics, Nagoya University,
August 21-26, 2000, ed. A.Kirillov and N.Liskova), 82-150,
World Scientific, Singapore, 2001
- Bethe's states for generalized XXX and XXZ
models (with N.A. Liskova)
Physics and Combinatorics 2000
(Proceedings of the Nagoya 2000 International
Workshop on Physics and Combinatorics, Nagoya University,
August 21-26, 2000, ed. A.Kirillov and N.Liskova), 151-163,
World Scientific, Singapore, 2001
math.QA/0103030
- A remark on the Harish-Chandra series for hyperboloids
(with
J.F. van Diejen)
Physics and Combinatorics 1999
(Proceedings of the Nagoya 1999 International
Workshop on Physics and Combinatorics, Nagoya University,
August 23-27, 1999, ed. A.Kirillov, A.Tsuchiya and H.Umemura), 11-15,
World Scientific, Singapore, 2001
- Ubiquity of Kostka polynomials
Physics and Combinatorics 1999
(Proceedings of the Nagoya 1999 International
Workshop on Physics and Combinatorics, Nagoya University,
August 23-27, 1999, ed. A.Kirillov, A.Tsuchiya and H.Umemur), 85-200,
World Scientific, Singapore, 2001
math.QA/9912094
- Some remarkable quadratic algebras and Schubert Calculus
Proceedings of the 45-th Symposium on Algebra,
Kyushu University, August 7-10, 2000, 142-151
- Determinantal formulas for zonal spherical functions of
hyperboloids
(with
J.F. van Diejen)
Mathematische Annalen 319 (2001), no.2, 215-234
- Domino tableaux, Schutzenberger involution, and the symmetric
group action (with
A.Berenstein)
Discrete Mathematics, 225 (2000), 15-24
- Generalization of the Gale-Ryser theorem
European Journal of Combinatorics, 21 (2000), 1047-1055
hep-th/9304099
- On some quadratic algebras
L.D. Faddeev's Seminar on Mathematical Physics, 91-113,
American Mathematical Society Translations: Series 2 201,
AMS, Providence, RI, 2000
q-alg/9705003
- New combinatorial formula for modified Hall-Littlewood polynomials
q-Series from a Contemporary Perspective (AMS-ISM-SIAM Joint
Summer Research Conference on q-series, Combinatorics, and computer
Algebra; June 21-25, 1998, Mount Holyoke, MA, USA), 283-333,
Contemporary Mathematics 254, AMS, Providence, RI, 2000
math.QA/9803006
- Combinatorics of Young tableaux and
rigged configurations (Russian)
Proceedings of the St.Petersburg Math. Soc., 7
(1999), 23-115; translation in
Proceedings of the St.Petersburg
Math. Soc. volume VII,
Amer. Math. Soc. Transl. Ser.2, 203, 17-98, AMS,
Providence, RI, 2001
- Quantum double Schubert polynomials, quantum Schubert polynomials
and Vafa-Intriligator formula
(with T.Maeno)
Discrete Mathematics 217 (2000), 191-224
q-alg/9610022
- Formulas for q-spherical functions using inverse scattering
theory of reflectionless Jacobi operators
(with
J.F. van Diejen)
Comm. Math. Phys. 210 (2000), 335-369
- Bijectives correspondances for rigged
configurations (Russian)
Algebra i Analiz 12 (2000), 204-240,
translation in
St.Petersburg Math. J. 12 (2001), no.1, 161-190
- On some quadratic algebras: Jucys-Marphy and Dunkl elements
Calogero-Moser-Sutherland models,
(Montreal, PQ, March 10-15, 1997) CRM Series in Mathematical Physics,
Springer, New York, 2000, 231-248
- A combinatorial formula for the associated Legendre functions
of integer degree
(with
J.F. van Diejen)
Advances in Mathematics 149 (2000), 61-88
- t-Deformations of quantum Schubert polynomials
Funkcialaj Ekvacioj 43 (2000), 57-69
math.QA/9802001
- Quantum Schubert polynomials and quantum Schur functions
Intern. Journ. of Algebra and Computation 9 (1999),
385-404
q-alg/9701005
- Quantum Grothendieck polynomials
Algebraic Methods and q-Special Functions
(Montreal, PQ, May 13-17, 1996)
CRM Proc. Lecture Notes 22,
Amer. Math. Soc., 1999, 215-226
q-alg/9610034
- q-Difference raising operators for Macdonald polynomials
and the integrality of transition coefficients
(with M.Noumi)
Algebraic Methods and q-Special Functions
(Montreal, PQ, May 13-17, 1996)
CRM Proc. Lecture Notes 22,
Amer. Math. Soc., 1999, 227-243
q-alg/9605005
- On a bijection between Littlewood-Richardson tableaux and rigged configurations
(with A.Schilling and
M.Shimozono)
Proceedings of the 11th International Conference on Formal Power Series
and Algebraic Combinatorics, Barcelona, June 7-11,
1999, 266-274.
-
Various representations of the generalized Kostka polynomials
(with A.Schilling and
M.Shimozono)
The Andrews Festschrift, Seventeen Papers on Classical
Number Theory and Combinatorics (eds. D.Foata and G.-N.Han), 209-226,
Springer, 2001
and
Seminaire Lotharingien de Combinatoire 42 (1999), 19pp.
- Character formulae of sl_n modules and inhomogeneous
paths (with G.Hatayama,
A.Kuniba,
M.Okado, T.Takagi and
Y.Yamada)
Nucl. Phys. B 536 (1999), 575-616
math.QA/9802085
-
Quadratic algebras, Dunkl elements,
and Schubert calculus
(with S.Fomin)
Advances in Geometry, 147-182,
Progress in Mathematics 172,
Birkhauser, Boston, 1998
- Skew Young diagram method in spectral decomposition of integrable
lattice models II, Higher levels
(with
A.Kuniba and
T.Nakanishi)
Nucl. Phys. B 529 (1998), 611-638
q-alg/9711009
- Domino tableaux, Schutzenberger involution and action of the
symmetric group
(with
A.Berenstein)
Proceedings of the 10th International Conference on Formal Power Series
and Algebraic Combinatorics, Fields Institute, Toronto,
1998, 55-66.
q-alg/9709010
-
Affine Hecke algebras and raising operators for Macdonald
polynomials (with
M.Noumi)
Duke Math. Journ. 93 (1998), no.1, 1-41.
q-alg/9605004
-
Quantum double Schubert polynomials, quantum Schubert polynomials
and Vafa-Intriligator formula (with T.Maeno)
Proceedings of the 9th International Conference on Formal Power
Series and Algebraic Combinatorics,
Wien, July 14-July 18, 1997, 301-312.
-
Skew Young diagram method in spectral decomposition of integrable
lattice models
(with A.Kuniba and
T.Nakanishi)
Comm. Math. Phys. 185 (1997), no.2, 441-465.
q-alg/9607027
-
Completeness of Bethe's states for generalized XXZ model
(with N.A.Liskova)
J. Phys. A 30 (1997), no.4, 1209-1226.
hepth/9407107
-
Reduced words and plane partitions
(with S.Fomin)
Journal of Algebraic Combinatorics 6 (1997), 311-319.
-
Combinatorial $B_n$-analogues of Schubert polynomials
(with S.Fomin)
Transactions of the AMS 348 (1996), 3591-3620.
- The Yang-Baxter equation, symmetric
functions, and Schubert polynomials
(with S.Fomin)
Discrete Mathematics 153 (1996), 123-143.
-
Universal exponential solution of the Yang-Baxter equation
(with S.Fomin)
Lett. in Math. Phys. 37 (1996), 273-284.
-
Dilogarithm identities
Progress of Theor. Phys. Suppl. 118 (1995), 61-142.
- Dilogarithm identities
Lectures in Mathematical Sciences the University of Tokyo,
7 (1995), 96p.
-
Group generated by involutions, Gelfand-Tsetlin patterns and
combinatorics of Young tableaux
(with
A.Berenstein)
Algebra i Analiz 7 (1995), no.1, 92-152, translation in
St.Petersburg Math. J. 7 (1996), no.1, 77-127.
- S$BqS(Bies g$BqOqS(Batrices pour les tableaux de dominos
(French, with
A.Lascoux,
B.Leclerc and
J.-Y.Thibon)
C.R. Acad. Sci. Paris Ser. I 318 (1994), no.5, 395-400.
-
Grothendieck polynomials and the Yang-Baxter equation
(with S.Fomin)
Proceedings of the 6th International Conference on Formal Power
Series and Algebraic Combinatorics, DIMACS, 1994, 183-190.
-
Dilogarithm identities, partitions and spectra in conformal field
theory, Part I
Algebra i Analiz 6 (1994), no.2, 152-175.
- Formulae for the multiplicites of the occurrence of irreducible
components in the tensor product of representations of simple Lie
algebras (Russian, with
N.Yu.Reshetikhin)
Zap. Nauch. Sem. LOMI 205 (1993), 30-37, translation in
Journal of Mathematical Sciences 80, no.3 (1996),
1768-1772
-
Berenstein-Zelevinski triangles, elementary couplings and fusion
rules
(with
P.Mathieu, L.B$BqH(Bin, M.A.Walton)
Lett. in Math. Phys. 28 (1993), no.4, 257-268.
- The Yang-Baxter equation, symmetric functions and Schubert
polynomials (with
S.Fomin)
Proceedings of the 5th International Conference on Formal Power
Series and Algebraic Combinatorics,
Firenze, June 21-25, 1993, 215-230.
- Can fusion coefficients be calculated from the depth rule ?
(with
P.Mathieu, D.Senechal, M.A.Walton)
Nucl. Phys. B 391 (1993), no.3, 651-674.
- Dilogarithm identities and spectra in
conformal field theory
Low-dimensional Topology and Quantum Field Theory (Cambridge,
1992) 99-108, NATO Adv. Sci. Inst. Ser. B Phys., 315, Plenum,
New York, 1993.
-
Crystallizing the depth rule for WZNW fusion coefficients
(with
P.Mathieu, D.Senechal, M.A.Walton)
Proceedings of the XIXth International Colloquium on Group
Theoretical Physics, Salamanca, Spain, 1992.
-
Unimodality of generalized Gaussian coefficients
C.R. Acad. Sci. Paris Ser. I 315 (1992), no.5, 497-501.
-
Combinatorics of rational representations of the group
GL(n,C)
(Russian, with
S.V.Kerov)
Zap. Nauch. Sem. LOMI 200 (1992), 83-93, translation in
Journal
of Mathematical Sciences 77, no.3 (1995), 3190-3194
-
Clebsch-Gordan and Racah-Wigner coefficients for $U_q(SU(1,1))$
(with N.A.Liskova)
Int. Jour. Mod. Phys. A 7 (1992), 611-621.
-
Decomposition of symmetric and exterior powers of the adjoint
representation of $\hbox{\germ g}l(N)$. 1. Unimodality of principal
specialization of the internal product of the Schur functions
Int. Jour. Mod. Phys. A 7 (1992), 545-579.
- On some properties of the Robinson-Schensted correspondence
Proceedings of Hayashibara conference on special functions,
1990, 122-126.
- Representation of quantum groups, combinatorics, q-orthogonal
polynomials and link invariants
(Russian)
Second Ph.D thesises, LOMI, Leningrad, 1990, 300p.
- q-Weyl group and a multiplicative formula for universal
R-matrices (with
N.Yu.Reshetikhin)
Comm. Math. Phys. 134 (1990), 316-325.
-
The resonating valence bond in quasicristals
(Russian, with
V.E.Korepin)
Algebra i Analiz 1 (1989), 47-76, translation in
Leningrad Math. J. 1 (1990), n.2, 343-377.
- The Lagrange identity and the hook formula
(Russian)
Zap. Nauch. Sem. LOMI 172 (1989), 78-87, translation in
Journal of Soviet Math. 59 (1992), 1078-1084.
- Representations of the algebra $U_q(sl(2))$, q-orthogonal
polynomials and invariants of links (with
N.Yu.Reshetikhin)
Adv. Series in Math. Phys. 7 (1989), 285-339.
- On the Kostka-Green-Foulkes polynomials and Clebsch-Gordan
numbers
Journ. Geom. and Phys. 5 (1988), 365-389.
- Multiplicity of weight in irreducible tensor representations of
a complete linear syperalgebra (Russian, with
N.Yu.Reshetikhin)
Funct. Anal. and Applicat. 22 (1988), no.4, 84-85.
- Form-factors in O(3) nonlinear $\sigma$-model
(with
F.A.Smirnov)
Int. Jour. Mod. Phys. A 3 (1988), no.3, 731-741.
- Clebsch-Gordan quantum coefficients
(Russian)
Zap. Nauch. Sem. LOMI 168 (1988), 67-84,
translation in
Journal of Soviet Math. 53 (1991),
264-276.
- Identities for the Rogers dilogarithmic function connected with
simple Lie algebras
(Russian)
Zap. Nauch. Sem. LOMI 164 (1987), 121-133,
translation in
Journal of Soviet Math. 47 (1989), 2450-2458.
- Formulas for formfactors in the quantum sinh-Gordon model
(Russian)
Zap. Nauch. Sem. LOMI 164 (1987), 54-66,
translation in
Journal of Soviet Math. 47 (1989), 2403-2412.
- Solution of some combinatorial problems arising in the calculation
of correlators in exactly solvable models
(Russian, with
F.A.Smirnov)
Zap. Nauch. Sem. LOMI 164 (1987), 67-79,
translation in
Journal of Soviet Math. 47 (1989), 2413-2422.
- Formfactors in the SU(2)-invariant Thirring model
(Russian, with
F.A.Smirnov)
Zap. Nauch. Sem. LOMI 164 (1987), 80-120,
translation in
Journal of Soviet Math. 47 (1989), 2423-2449.
- A representation of the current algebra connected with
SU(2)-invariant Thirring model
(with
F.A.Smirnov)
Phys. Lett. B 198 (1987), no.4, 506-510.
- The Bethe ansatz and the combinatorics of Young tableaux
(Russian)
Ph.D thesises, LOMI, Leningrad, 1987, 210p.
- Exact solution of the integrable XXZ Heisenberg model with
arbitrary spin, I
(with
N.Yu.Reshetikhin)
J. Phys. A 20 (1987), 1565-1586.
- Exact solution of the integrable XXZ Heisenberg model with
arbitrary spin, II
(with
N.Yu.Reshetikhin)
J. Phys. A 20 (1987), 1587-1597.
- Quantum inhomogeneous XXZ magnet and non-linear
$\sigma$-models (with
N.Yu.Reshetikhin)
Proceedings of Paris-Meudon Colloquium, Paris, 1987,
235-257.
- Representation of Yangians and multiplicities of the inclusion
of the irreducible components of the tensor product of representations
of simple Lie algebras (Russian, with
N.Yu.Reshetikhin)
Zap. Nauch. Sem. LOMI 160 (1987), 211-221,
translation in
Journal of Soviet Math. 52 (1990), 3156-3164.
- Some generalization of the Abjankar-Moh theorem
(Russisn)
Proceedings of Algebraic Conference, L'vov, 1987, part 1,
p.131.
- The Yangians, Bethe ansatz and combinatorics (with
N.Yu.Reshetikhin)
Lett. in Math. Phys. 12 (1986), 199-208.
- Combinatorics, the Bethe ansatz and representations of the symmetric
group (Russian, with
S.V.Kerov and
N.Yu.Reshetikhin)
Zap. Nauch. Sem. LOMI 155 (1986), 50-64,
translation in
Journal of Soviet Math. 41 (1988), 916-924.
- The Bethe ansatz and the combinatorics of Young tableaux
(Russian, with
N.Yu.Reshetikhin)
Zap. Nauch. Sem. LOMI 155 (1986), 65-115,
translation in
Journal of Soviet Math. 41 (1988), 925-955.
- T-invariance, CPT-invariants and local commutativity
of the quantum $(ch\varphi)_2$ model
(Russian)
Zap. Nauch. Sem. LOMI 146 (1985), 9-19,
translation in
Journal of Soviet Math. 40 (1988), 6-12.
- Norms of bound states
(Russian, with
V.E.Korepin)
Zap. Nauch. Sem. LOMI 146 (1985), 20-30,
translation in
Journal of Soviet Math. 40 (1988), 13-21.
- Classification of the string solutions of Bethe equations in the
XXZ-model of arbitrary spin (Russian, with
N.Yu.Reshetikhin)
Zap. Nauch. Sem. LOMI 146 (1985), 31-46, translation in
Journal of Soviet Math. 40 (1988), 22-34.
- Properties of kernels of integral equations in the XXZ-model
of arbitrary spin
(Russian, with
N.Yu.Reshetikhin)
Zap. Nauch. Sem. LOMI 146 (1985), 47-91, translation in
Journal of Soviet Math. 40 (1988), 35-71.
- Exact solution of XXZ-Heisenberg model of the higher spin
(Russian)
Zap. Nauch. Sem. LOMI 145 (1985), 109-133,
translation in
Journal of Soviet Math. 35 (1986), 2627-2643.
- Completeness of states of the generalized Heisenberg magnet
(Russian)
Zap. Nauch. Sem. LOMI 134 (1985), 169-189,
translation in
Journal of Soviet Math. 36 (1987), 115-128.
- Norm pairing in a two-dimensional local field
(Russian, with
S.V.Vostokov)
Zap. Nauch. Sem. LOMI 132 (1983), 76-84,
translation in
Journal of Soviet Math. 30 (1985), 1847-1853.
- Combinatorial identities and completeness of states for the
Heisenberg magnet
(Russian)
Zap. Nauch. Sem. LOMI 131 (1983), 88-105,
translation in
Journal of Soviet Math. 30 (1985), 2298-3310.
- Mixed Hodge structure of the isolated singularity of the
hypersuface
Shot Communications, ICM-82, Warszawa, 1982, sec.6, p.34.
- Milnor's number of isolated singularity of complete intersection
(Russian)
Proceedings of Algebraic conference, Leningrad, 1981,
part 1, p.97.
- The Zeta function of the monodromy of a singular point of complete
intersection
(Russian)
Zap. Nauch. Sem. LOMI 112 (1981), 112-119,
translation in
Journal of Soviet Math. 25 (1984), 1051-1056.
- Formula for calculating the integer cohomology of the link of
an isolated hypersurface singularity
(Russian)
Zap. Nauch. Sem. LOMI 100 (1980), 106-112,
translation in
Journal of Soviet Math. 19 (1982), 1695-1699.
- Convex polytops and formal groups
(Russian)
Zap. Nauch. Sem. LOMI 75 (1978), 87-90,
translation in
Journal of Soviet Math. 37 (1987), 974-976.
- Classification of the formal O-modules
(Russian)
Proceedings of Algebraic conference, Krasnoyarsk, 1977, p.76.
- Commutative formal groups
(Russian)
Zap. Nauch. Sem. LOMI 57 (1976), 117-124,
translation in
Journal of Soviet Math. 11 (1979), 613-619.
- Lutz filtration of formal groups
(Russian, with
M.I.Bashmakov)
Izv. Acad. of Scien. USSR 139 (1975), no.6, 1227-1239.
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