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Algebraic Groups and Their Generalizations: Classical Methods, Part 1
About this Title
William J. Haboush and Brian J. Parshall, Editors
Publication: Proceedings of Symposia in Pure Mathematics
Publication Year:
1994; Volume 56.1
ISBNs: 978-0-8218-1540-3 (print); 978-0-8218-9357-9 (online)
DOI: https://doi.org/10.1090/pspum/056.1
Table of Contents
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Front/Back Matter
A previously unpublished paper of C. Chevalley
- C. Chevalley – Sur les décompositions cellulaires des espaces $G/B$ [MR 1278698]
Perverse sheaves, Kazhdan Lusztig program, and related topics
- Armand Borel – Introduction to middle intersection cohomology and perverse sheaves [MR 1278699]
- James B. Carrell – The Bruhat graph of a Coxeter group, a conjecture of Deodhar, and rational smoothness of Schubert varieties [MR 1278700]
- Edward Cline, Brian Parshall and Leonard Scott – Simulating perverse sheaves in modular representation theory [MR 1278701]
- Vinay Deodhar – A brief survey of Kazhdan-Lusztig theory and related topics [MR 1278702]
Finite Chevalley groups and related matters
- Richard Dipper – Green theory for Hecke algebras and Harish-Chandra philosophy [MR 1278703]
- M. Schaps – Liftable deformations and Hecke algebras [MR 1278704]
- Eli A. Siegel – A Hecke algebra of the symmetric group [MR 1278705]
- Bhama Srinivasan – Character sheaves: Applications to finite groups [MR 1278706]
Algebraic groups, general theory
- Ralph J. Bremigan – Real algebraic quotients [MR 1278707]
- M. Brion and S. P. Inamdar – Frobenius splitting of spherical varieties [MR 1278708]
- Romuald Dąbrowski – Generalized Kloosterman sums [MR 1278709]
- A. G. Helminck – Symmetric $k$-varieties [MR 1278710]
- Andy R. Magid – Identities for prounipotent groups [MR 1278711]
- Christian Wenzel – On the structure of nonreduced parabolic subgroup-schemes [MR 1278712]
Representations
- A. J. Coleman – Weight modules without highest weight [MR 1278713]
- J. E. Humphreys – Extremal composition factors for groups of Lie type [MR 1278714]
- Koike Kazuhiko – Relative invariants of the polynomial rings over the finite and tame type quivers [MR 1278715]
Invariant theory
- Bram Broer – Hilbert series for modules of covariants [MR 1278716]
- Roger E. Howe – The first fundamental theorem of invariant theory and spherical subgroups [MR 1278717]
- Mikiya Masuda and Ted Petrie – Algebraic families of $\mathrm {O}(2)$-actions on affine space $\mathbf {C}^4$ [MR 1278718]
- Lucy Moser-Jauslin – Algebraic equivariant vector bundles and the linearity problem [MR 1278719]
- George F. Seelinger – Equivariant matrix valued functions [MR 1278720]
- David L. Wehlau – Constructive invariant theory [MR 1278721]