CONTENTS

1. Finding Rigged Configurations From Paths (New Trends in Combinatorial Representation Theory)--------------------------------------1

　　　　Department of physics, Graduate School of Science, The University of Tokyo　　　SAKAMOTO, REIHO

　

2. A $q$-analogue of Catalan Hankel determinants (New Trends in Combinatorial Representation Theory)--------------------------------19

　　　　Faculty of Education, Tottori University / Faculty of Education, Wakayama University / Institut Camille Jordan, Universite Claude Bernard Lyon I　　　ISHIKAWA, Masao / TAGAWA, Hiroyuki / ZENG, Jiang

　

3. Tensor Representations for the Quantum Loop Algebras of Type $A$ at Roots of Unity (New Trends in Combinatorial Representation Theory)---43

　　　　Faculty of Science and Technology, Sophia University　　　ABE, Yuuki

　

4. The Elliptic Quantum Group $U_{q,p}(\widehat{\mathfrak{sl}}_2)$------------------------------------------------------------------53

　　　　Department of Mathematics, Graduate School of Science, Hiroshima University　　　KONNO, Hitoshi

　

5. Thom polynomials and around (New Trends in Combinatorial Representation Theory)--------------------------------------------------75

　　　　Department of Mathematics, Hokkaido University　　　Ohmoto, Toru

　

6. Double Schubert polynomials of classical type and Excited Young diagrams (New Trends in Combinatorial Representation Theory)-----87

　　　　Okayama University of Science / Okayama University　　　IKEDA, Takeshi / NARUSE, Hiroshi

　

7. Universal Tropical R map of $\mathfrak{sl}_2$ and Prehomogeneous Geometric Crystals (New Trends in Combinatorial Representation Theory)---101

　　　　Department of Mathematics, Sophia University　　　NAKASHIMA, Toshiki

　

8. On the structure of parabolic Humphreys-Verma modules (New Trends in Combinatorial Representation Theory)-----------------------117

　　　　Osaka City University, Department of Mathematics　　　KANEDA, Masaharu

　

9. A product formula for decomposition numbers of the cyclotomic $q$-Schur algebra and its analogue for the Fock space (New Trends in Combinatorial Representation Theory)---125

　　　　Graduate School of Mathematics, Nagoya University　　　Wada, Kentaro

　

10. Catalan numbers and level 2 weight structures of $A^{(1)}_{p-1}$ (New Trends in Combinatorial Representation Theory)-----------145

　　　　RIMS, Kyoto University　　　Tsuchioka, Shunsuke

　

11. Uno's conjecture for the exceptional Iwahori-Hecke algebras (New Trends in Combinatorial Representation Theory)----------------155

　　　　Graduate School of Mathematics, Nagoya University　　　MIYACHI, Hyohe

　

12. Infinite Pre-dominant Integral Weights for Affine Types (New Trends in Combinatorial Representation Theory)--------------------179

　　　　Research Institute for Mathematical Sciences, Kyoto University　　　NAKADA, KENTO

　

13. Iwahori-Hecke type algebras associated with the Lie superalgebras $A(m, n), B(m, n), C(n)$ and $D(m, n)$ (New Trends in Combinatorial Representation Theory)---197

　　　　Department of Pure and Applied Mathematics, Graduate School of Information Science and Technology, Osaka University　　　YAMANE, HIROYUKI