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図書

図書
edited by R.W. Carter and J. Saxl
出版情報: Dordrecht : Kluwer Academic Publishers, c1998  xviii, 374 p. ; 25 cm
シリーズ名: NATO ASI series ; Ser. C . Mathematical and physical sciences : v. 517
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Preface
Introduction
Linear and Nonlinear Group Actions, and the Newton Institute Program / L.L. Scott
Tilting Modules for Algebraic Groups / H.H. Andersen
Semisimplicity in Positive Characteristic / G.J. McNinch
Homology Bases Arising from Reductive Groups over a Finite Field / G. Lusztig
Highest Weight Modules Associated to Parabolic Subgroups with Commutative Unipotent Radicals / T. Tanisaki
Symmetric Groups and Schur Algebras / G. James
Branching Rules for Symmetric Groups and Applications / A.S. Kleshchev
Endomorphism Algebras and Representation Theory / E. Cline, et al.
Representations of Simple Lie Algebras: Modern Variations on a Classical Theme / R.W. Carter
The Path Model, the Quantum Frobenius Map and Standard Monomial Theory / P. Littelmann
Arithmetical Properties of Blocks / G.R. Robinson
The Isomorphism and Isogeny Theorems for Reductive Algebraic Groups / R. Steinberg
Double Cosets in Algebraic Groups / G.M. Seitz
Dense Orbits and Double Cosets / J. Brundan
Subgroups of Exceptional Groups / M.W. Liebeck
Overgroups of Special Elements in Simple Algebraic Groups and Finite Groups of Lie Type / J. Saxl
Some Applications of Subgroup Structure to Probabilistic Generation and Covers of Curves / R.M. Guralnick
Quasithin Groups / M. Aschbacher
Tame Groups of Odd and Even Type / A.V. Borovik
Index
Preface
Introduction
Linear and Nonlinear Group Actions, and the Newton Institute Program / L.L. Scott
2.

図書

図書
William J. Haboush, Brian J. Parshall, editors
出版情報: Providence, R.I. : American Mathematical Society, c1994  2 v. ; 27 cm
シリーズ名: Proceedings of symposia in pure mathematics ; v. 56
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Classical methods: Sur les decompositions cellulaires des espaces $G/B$ / C. ChevalleyPart 1:
Introduction to middle intersection cohomology and perverse sheaves / A. Borel
The Bruhat graph of a Coxeter group, a conjecture of Deodhar, and rational smoothness of Schubert varieties / J. B. Carrell
Simulating perverse sheaves in modular representation theory / E. Cline ; B. Parshall ; L. Scott
A brief survey of Kazhdan-Lusztig theory and related topics / V. Deodhar
Green theory for Hecke algebras and Harish-Chandra philosophy / R. Dipper
Liftable deformations and Hecke algebras / M. Schaps
A Hecke algebra of the symmetric group / E. A. Siegel
Character sheaves: Applications to finite groups / B. Srinivasan
Real algebraic quotients / R. J. Bremigan
Frobenius splitting of spherical varieties / M. Brion ; S. P. Inamdar
Generalized Kloosterman sums / R. Dabrowski
Symmetric $k$-varieties / A. G. Helminck
Identities for prounipotent groups / A. R. Magid
On the structure of nonreduced parabolic subgroup-schemes / C. Wenzel
Weight modules without highest weight / A. J. Coleman
Extremal composition factors for groups of Lie type / J. E. Humphreys
Relative invariants of the polynomial rings over the finite and tame type quivers / K. Kazuhiko
Hilbert series for modules of covariants / B. Broer
The first fundamental theorem of invariant theory and spherical subgroups / R. E. Howe
Algebraic families of $O(2)$-actions on affine space $\mathbf C^4$ / M. Masuda ; T. Petrie
Algebraic equivariant vector bundles and the linearity problem / L. Moser-Jauslin
Equivariant matrix valued functions / G. F. Seelinger
Constructive invariant theory / D. L. Wehlau
Quantum and infinite-dimensional methods: Finite dimensional representations of quantum groups / H. H. AndersenPart 2:
An Introduction to quantum groups / P. Cartier
Examples of compact matrix pseudogroups arising from Drinfeld's twisting operation / B. Enriquez
Face algebras and their Drinfeld doubles / T. Hayashi
Representation theory for quantized enveloping algebras / G. Letzter
Rational representations of Hopf algebras / Z. Lin
Filtrations of modules over the quantum algebra / J. Paradowski
Quantum groups as invariance groups / A. Sudbery
The quantum hyperalgebra of $SL_q(2)$ / M. Takeuchi
IC bases and quantum linear groups / J. Du
Bases for quantum Demazure modules. II / V. Lakshmibai
Problems on canonical bases / G. Lusztig
$2$-categories and Zamolodchikov tetrahedra equations / M. M. Kapranov ; V. A. Voevodsky
Abelian intertwining algebras-A generalization of vertex operator algebras / C. Dong ; J. Lepowsky
Discrete series of the Virasoro algebra and the moonshine module / G. Mason ; Y. Zhu
Constructions of vertex operator algebras / A. J. Feingold
Binary trees and finite-dimensional Lie algebras / Y.-Z. Huang
Holomorphic line bundles over Hilbert flag varieties / G. F. Helminck
New classes of infinite-dimensional Lie groups / L. Natarajan ; E. Rodriguez-Carrington ; J. A. Wolf
On forms of Kac-Moody algebras / G. Rousseau
Semi-infinite cohomology of Lie algebras / A. A. Voronov
Classical methods: Sur les decompositions cellulaires des espaces $G/B$ / C. ChevalleyPart 1:
Introduction to middle intersection cohomology and perverse sheaves / A. Borel
The Bruhat graph of a Coxeter group, a conjecture of Deodhar, and rational smoothness of Schubert varieties / J. B. Carrell
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