Algebraic groups and their generalizations: Summer Research Institute on Algebraic Groups and their Generalizations, July 6 - 26, 1991, Pennsylvania State University, University Park, Pennsylvania 2 Quantum and infinite dimensional methods
Gespeichert in:
| Weitere Verfasser: | |
|---|---|
| Format: | Tagungsbericht Buch |
| Sprache: | English |
| Veröffentlicht: |
Providence, RI
American Mathematical Society
1994
|
| Schriftenreihe: | Proceedings of Symposia in Pure Mathematics
56,2 |
| Schlagworte: | |
| Online-Zugang: | Inhaltsverzeichnis |
| Beschreibung: | IX, 415 Seiiten |
| ISBN: | 0821815415 |
Internformat
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| 245 | 1 | 0 | |a Algebraic groups and their generalizations |b Summer Research Institute on Algebraic Groups and their Generalizations, July 6 - 26, 1991, Pennsylvania State University, University Park, Pennsylvania |n 2 |p Quantum and infinite dimensional methods |c William J. Haboush ... eitors |
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Datensatz im Suchindex
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| adam_text | Contents
Preface ix
Part 1. Algebraic groups and their generalizations: Classical methods
§1. A previously unpublished paper of C. Chevalley
Sur les decompositions cellulaires des espaces G/B
C. Chevalley 1
§2. Perverse sheaves, Kazhdan Lusztig program, and related topics
Introduction to middle intersection cohomology and perverse sheaves
Armand Borel 25
The Bruhat graph of a Coxeter group, a conjecture of Deodhar, and
rational smoothness of Schubert varieties
James B. Carrell 53
Simulating perverse sheaves in modular representation theory
Edward Cline, Brian Parshall, and Leonard Scott 63
A brief survey of Kazhdan Lusztig theory and related topics
Vinay Deodhar 105
§3. Finite Chevalley groups and related matters
Green theory for Hecke algebras and Harish Chandra philosophy
Richard Dipper 125
Liftable deformations and Hecke algebras
M.Schaps 155
A Hecke algebra of the symmetric group
Eli A. Siegel 175
Character sheaves: Applications to finite groups
Bhama Srinivasan 183
V
vi CONTENTS
§4. Algebraic groups, general theory
Real algebraic quotients
Ralph J. Bremigan 195
Frobenius splitting of spherical varieties
M. Brion and S. P. Inamdar 207
Generalized Kloosterman sums
Romuald Dabrowski 219
Symmetric fc varieties
A. G. Helminck 233
Identities for prounipotent groups
AndyR. Magid 281
On the structure of nonreduced parabolic subgroup schemes
Christian Wenzel 291
§5. Representations
Weight modules without highest weight
A. J. Coleman 299
Extremal composition factors for groups of Lie type
J. E. Humphreys 303
Relative invariants of the polynomial rings over the finite and
tame type quivers
Koike Kazuhiko 311
§6. Invariant theory
Hilbert series for modules of covariants
Bram Broer 321
The first fundamental theorem of invariant theory and spherical
subgroups
Roger E. Howe 333
Algebraic families of 0(2) actions on affine space C4
Mikiya Masuda and Ted Petrie 347
Algebraic equivariant vector bundles and the linearity problem
Lucy Moser Jauslin 355
Equivariant matrix valued functions
George F. Seelinger 365
CONTENTS vii
Constructive invariant theory
David L. Wehlau 377
Part 2. Algebraic groups and their generalizations: Quantum and
infinite dimensional methods
§1. The general theory of quantum groups
Finite dimensional representations of quantum groups
Henning Haahr Andersen 1
An introduction to quantum groups
Pierre Cartier 19
Examples of compact matrix pseudogroups arising from Drinfel d s
twisting operation
Benjamin Enriquez 43
Face algebras and their Drinfeld doubles
Takahiro Hayashi 49
Representation theory for quantized enveloping algebras
Gail Letzter 63
Rational representations of Hopf algebras
Zongzhu Lin 81
Filtrations of modules over the quantum algebra
Jan Paradowski 93
Quantum groups as invariance groups
A. SUDBERY 109
The quantum hyperalgebra of SLq(2)
Mitsuhiro Takeuchi 121
§2. Crystal bases
IC bases and quantum linear groups
JieDu 135
Bases for quantum Demazure modules. II
V. Lakshmibai 149
Problems on canonical bases
G. Lusztig 169
viii CONTENTS
§3. Quantum groups and category theory
2 categories and Zamolodchikov tetrahedra equations
M. M. Kapranov and V. A. Voevodsky 177
§4. Vertex operator algebras, the moonshine module and related topics
Abelian intertwining algebras—A generalization of vertex operator
algebras
Chongying Dong and James Lepowsky 261
Discrete series of the Virasoro algebra and the moonshine module
Chongying Dong, Geoffrey Mason, and Yongchang
Zhu 295
Constructions of vertex operator algebras
Alex J. Feingold 317
Binary trees and finite dimensional Lie algebras
Yi Zhi Huang 337
§5. Infinite dimensional groups and Lie algebras
Holomorphic line bundles over Hilbert flag varieties
A. G. Helminck and G. F. Helminck 349
New classes of infinite dimensional Lie groups
Loki Natarajan, Enriqueta RodrIguez Carrington,
and Joseph A. Wolf 377
On forms of Kac Moody algebras
Guy Rousseau 393
Semi infinite cohomology of Lie algebras
Alexander A. Voronov 401
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| spelling | Algebraic groups and their generalizations Summer Research Institute on Algebraic Groups and their Generalizations, July 6 - 26, 1991, Pennsylvania State University, University Park, Pennsylvania 2 Quantum and infinite dimensional methods William J. Haboush ... eitors Providence, RI American Mathematical Society 1994 IX, 415 Seiiten txt rdacontent n rdamedia nc rdacarrier Proceedings of Symposia in Pure Mathematics 56,2 Proceedings of Symposia in Pure Mathematics 56 (DE-588)1071861417 Konferenzschrift gnd-content Haboush, William J. 1942- (DE-588)1113676876 edt Summer Research Institute on Algebraic Groups and Their Generalizations 1991 University Park, Pa. Sonstige (DE-588)5110550-0 oth (DE-604)BV009776746 2 Proceedings of Symposia in Pure Mathematics 56,2 (DE-604)BV000012972 56,2 HBZ Datenaustausch application/pdf http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=006468871&sequence=000002&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA Inhaltsverzeichnis |
| spellingShingle | Algebraic groups and their generalizations Summer Research Institute on Algebraic Groups and their Generalizations, July 6 - 26, 1991, Pennsylvania State University, University Park, Pennsylvania Proceedings of Symposia in Pure Mathematics |
| subject_GND | (DE-588)1071861417 |
| title | Algebraic groups and their generalizations Summer Research Institute on Algebraic Groups and their Generalizations, July 6 - 26, 1991, Pennsylvania State University, University Park, Pennsylvania |
| title_auth | Algebraic groups and their generalizations Summer Research Institute on Algebraic Groups and their Generalizations, July 6 - 26, 1991, Pennsylvania State University, University Park, Pennsylvania |
| title_exact_search | Algebraic groups and their generalizations Summer Research Institute on Algebraic Groups and their Generalizations, July 6 - 26, 1991, Pennsylvania State University, University Park, Pennsylvania |
| title_full | Algebraic groups and their generalizations Summer Research Institute on Algebraic Groups and their Generalizations, July 6 - 26, 1991, Pennsylvania State University, University Park, Pennsylvania 2 Quantum and infinite dimensional methods William J. Haboush ... eitors |
| title_fullStr | Algebraic groups and their generalizations Summer Research Institute on Algebraic Groups and their Generalizations, July 6 - 26, 1991, Pennsylvania State University, University Park, Pennsylvania 2 Quantum and infinite dimensional methods William J. Haboush ... eitors |
| title_full_unstemmed | Algebraic groups and their generalizations Summer Research Institute on Algebraic Groups and their Generalizations, July 6 - 26, 1991, Pennsylvania State University, University Park, Pennsylvania 2 Quantum and infinite dimensional methods William J. Haboush ... eitors |
| title_short | Algebraic groups and their generalizations |
| title_sort | algebraic groups and their generalizations summer research institute on algebraic groups and their generalizations july 6 26 1991 pennsylvania state university university park pennsylvania quantum and infinite dimensional methods |
| title_sub | Summer Research Institute on Algebraic Groups and their Generalizations, July 6 - 26, 1991, Pennsylvania State University, University Park, Pennsylvania |
| topic_facet | Konferenzschrift |
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