表現の分岐則(ユニタリ表現の制限,離散的分岐則の理論,重複度の評価)

[17] T. Kobayashi, Some examples of the branching rule of unitary representations associated to isomorphisms of homogeneous spaces, unpublished notes, 1990.
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[24] T. Kobayashi, The restriction of Aq(λ) to reductive subgroups, Proc. Japan Acad. Ser. A 69 (1993), 262-267.
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[28] T. Kobayashi, Discrete decomposability of the restriction of Aq(λ) with respect to reductive subgroups and its applications, Invent. Math. 117 (1994), 181-205.
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[31] T. Kobayashi, The restriction of Aq(λ) to reductive subgroups II, Proc. Japan Acad. Ser. A 71 (1995), 24-26.
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[32] 小林俊行, 「球等質多様体上の調和解析入門」, 佐藤文広 編, 第3回整数論サマースクール「等質空間と保型形式」(立教大学, 1995年1月; 長野県山形村, 1995年7月24-27日), 1995, pp. 22-41.
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[35] 小林俊行(石川哲 記), 「局所対称空間のモジュラー記号の消滅定理」, 示野信一 編, 「表現論とその周辺」報告集(倉敷, 1996年11月), 1996, pp. 1-16.
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[36] T. Kobayashi and T. Oshima, Multiplicities of induced representations of semisimple Lie groups, unpublished notes, 1996.
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[37] 小林俊行, 「ユニタリ表現の制限とその応用について」, 表現論シンポジウム講演集(三河, 1996年11月19-22日), 1996, pp. 131-141.
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[38] T. Kobayashi, Monastir Seminar on the restriction of unitary representations and their applications, Proceedings of the CIMPA School, held in Tunisia, July-August 1996 (P. Torasso, ed.), 1997.
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[40] T. Kobayashi, Lp-analysis on homogeneous manifolds of reductive type and representation theory, Proc. Japan Acad. 73 (1997), 62-66.
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[44] T. Kobayashi, Harmonic analysis on homogeneous manifolds of reductive type and unitary representation theory, Translations, Series II, Selected Papers on Harmonic Analysis, Groups, and Invariants (K. Nomizu, ed.), vol. 183, Amer. Math. Soc., 1998, pp. 1-31, ISBN 0-8218-0840-0.
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[45] T. Kobayashi, Discrete series representations for the orbit spaces arising from two involutions of real reductive Lie groups, J. Funct. Anal. 152 (1998), 100-135.
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[46] T. Kobayashi, Discrete decomposability of the restriction of Aq(λ) with respect to reductive subgroups II - micro-local analysis and asymptotic K-support, Annals of Math. 147 (1998), no. 3, 709-729.
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[47] T. Kobayashi and T. Oda, A vanishing theorem for modular symbols on locally symmetric spaces, Comment. Math. Helv. 73 (1998), 45-70.
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[48] T. Kobayashi, Discrete decomposability of the restriction of Aq(λ) with respect to reductive subgroups III - restriction of Harish-Chandra modules and associated varieties, Invent. Math. 131 (1998), 229-256.
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[51] 小林俊行, 「半単純リー群のユニタリ表現の離散分岐理論とその展開」, 日本数学会年会, 総合講演・企画特別講演予稿集(学習院大学, 1999年3月), 1999, pp. 1-19.
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[52] 小林俊行, 「半単純リー群のユニタリ表現の離散的分岐則の理論とその展開」(論説), 数学 51 (1999), 337-356. 英訳あり.
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[57] T. Kobayashi, Multiplicity-free restrictions of unitary highest weight modules for reductive symmetric pairs, preprint UTMS 2000-1.
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[58] T. Kobayashi, Discretely decomposable restrictions of unitary representations of reductive Lie groups - examples and conjectures, Advanced Study in Pure Mathematics, Analysis on Homogeneous Spaces and Representation Theory of Lie Groups, Okayama-Kyoto (T. Kobayashi, M. Kashiwara, T. Matsuki, K. Nishiyama, and T. Oshima, eds.), vol. 26, 2000, pp. 98-126.
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[63] T. Kobayashi, Branching problems of unitary representations, Proc. of ICM 2002, Beijing, vol. 2, 2002, pp. 615-627, math.RT/0304326.
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[69] T. Kobayashi, Branching problems of unitary representations, Proceedings of Symposium of Representation Theory, held at Fuji Haitsu, November 2002 (S. Sano, ed.), 2002, pp. 39-52.
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[83] T. Kobayashi, Restrictions of unitary representations of real reductive groups, Lie Theory: Unitary Representations and Compactifications of Symmetric Spaces (J.-P. Anker and B. Ørsted, eds.), Progress in Mathematics 229, Birkhauser, 2005, pp. 139-207.
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[85] T. Kobayashi, Theory of discrete decomposable branching laws of unitary representations of semisimple Lie groups and some applications, Sugaku Expositions 18 (2005), 1-37, a translation of the original article in Japanese.
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Updated: 11 July 2006