## Algebraic Groups and Related Topics: Proceedings of Symposium Held in Kyoto, Japan 5-7 Sept. 1983 and Nagoya, Japan 11-14 Oct 1983These 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. |

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### Contents

Michio JIMBO and Tetsuji Miwa On a Duality of Branching | 17 |

Masaki KASHIWARA The Universal Verma Module and the | 67 |

Jiro SEKIGUCHI Invariant Spherical Hyperfunctions on the Tan | 83 |

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13 other sections not shown

### Common terms and phrases

action acts affine affine transformation algebraic group associated assume automorphism basis bundle character closed codimension commutative complete component conjugacy class connected consider constant contained coordinate Corollary corresponding defined definition denote determined diagram dimension element embedding equal exists extension fact finite fixed follows formula function given gives hand Hence homogeneous implies induced integer invariant irreducible isomorphic left cells Lemma Lie algebra linear Math Moreover morphism natural nilpotent notation Note obtained operation orbit pair particular partition polynomial positive Proof Proposition prove rank rational reductive regular relations Remark representation Representative resp respect restriction result root satisfying semisimple sequence similar simple space Springer subalgebra subgroup subset symmetric Theorem torus trivial unipotent radical unique variety vector weight Weyl group