Algebraic groups and related topics : proceedings of symposia held in Kyoto from September 5 until September 7, 1983 and held in Nagoya from October 11 until October 14, 1983

書誌事項

Algebraic groups and related topics : proceedings of symposia held in Kyoto from September 5 until September 7, 1983 and held in Nagoya from October 11 until October 14, 1983

edited by R. Hotta

(Advanced studies in pure mathematics, 6)

Kinokuniya , North-Holland Pub., c1985

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注記

Includes bibliographies

内容説明・目次

内容説明

These international contributions examine the wide range of Algebraic Groups - in particular, representation theory, invariant theory, character theory of finite reductive groups, Kac-Moody algebras, algebro-geometric connection, algebra-analytic connection (the ``D-module'' theory) and singularity connection. Full details of new results are included.

目次

On the Dimension of Spaces of Automorphic Cohomology (F.L. Williams). On a Duality of Branching Rules for Affine Lie Algebras (M. Jimbo and T. Miwa). The Universal Verma Module and the b-Function (M. Kashiwara). Invariant Spherical Hyperfunctions on the Tangent Space of a Symmetric Space (J. Sekiguchi). A Local Formula for Springer's Representation (R. Hotta). Holonomic Systems on a Flag Variety Associated to Harish-Chandra Modules and Representations of a Weyl Group (T. Tanisaki). The Dimensions of the Spaces of All Class Functions Invariant under the Twisting Operators of Finite Classical Groups (T. Asai). Generalized Gelfand-Graev Representations and Ennola Duality (N. Kawanaka). Some Generalization of Asai's Result for Classical Groups (T. Shoji). The Generalized Poincare Series of a Principal Series Representation (A. Gyoja). Cells in Affine Weyl Groups (G. Lusztig). On the Generalized Springer Correspondence for Classical Groups (G. Lusztig and N. Spaltenstein). On the Generalized Springer Correspondence for Exceptional Groups (N. Spaltenstein). The Duality of the Exponents of Free Deformations Associated with Unitary Reflection Groups (H. Terao and T. Yano). On the Maximal Connected Algebraic Subgroups of the Cremona Group II (H. Umemura). The Orbital Decomposition of Some Prehomogeneous Vector Spaces (T. Kimura and S.-I. Kasai). Complete Symmetric Varieties II (C. De Concini and C. Procesi). Computation of New Schubert Tables for Quadrics and Projectivities (C. De Concini, P. Gianni and C. Traverso). Some Results on Algebraic Groups with Involutions (T.A. Springer).

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