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Algebraic Groups and Lie Groups : A Volume of Papers in Honour of the Late R. W. Richardson - Gustav I. Lehrer

Algebraic Groups and Lie Groups

A Volume of Papers in Honour of the Late R. W. Richardson

By: Gustav I. Lehrer (Editor), Dr Michael Murray (Editor), Philip Broadbridge (Editor), Chris Heyde (Editor), Charles Pearce (Editor)


Published: 24th March 1997
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This volume contains original research articles by many of the world's leading researchers in algebraic and Lie groups. Its inclination is algebraic and geometric, although analytical aspects are included. The central theme reflects the interests of R. W. Richardson, viz. connections between representation theory and the structure and geometry of algebraic groups. Particular topics addressed include Kazhdan-Lusztig theory, quantum groups, spherical varieties, symmetric varieties, cohomology of varieties, purity, Schubert geometry, invariant theory and symmetry breaking. The theory of canonical bases and their geometric context is a theme of several of the contributions as is the orbit theory of algebraic group actions on affine varieties. All workers on algebraic and Lie groups will find that this book contains a wealth of interesting material.

Class functions, conjugacy classes and commutators in semisimple Lie theory
Curves and divisors in spherical varieties
The phylon group and statistics
The span of the tangent cones of a Schubert variety
Canonical bases, reduced words and Lusztig's piecewise-linear function
Geometric rationality of Satake compactifications
Graded and non-graded Kazhdan-Lusztig theories
Quantum Schubert cells and representations at roots of 1
Purity and equivariant weight polynomials
The restriction of the regular module for a quantum group
On coefficients in Kazhdan-Lusztig polynomials
Spectral estimates for positive Rocklands operators
Factorization of certain exponentials in Lie groups
Symmetry breaking for equivariant maps
Low dimensional representations of reductive groups
Grosses cellules pour les varietes spheriques
Total positivity and canonical bases
On the number of orbits of a parabolic subgroup on its unipotent radical
On a homomorphism of Harish-Chandra
Two notes on a finiteness problem in the representation theory of finite groups
A description of B-orbits on symmetric varieties
Nagata's example
Table of Contents provided by Publisher. All Rights Reserved.

ISBN: 9780521585323
ISBN-10: 0521585325
Series: Australian Mathematical Society Lecture Series
Audience: Professional
Format: Paperback
Language: English
Number Of Pages: 396
Published: 24th March 1997
Publisher: Cambridge University Press
Country of Publication: GB
Dimensions (cm): 22.8 x 15.2  x 2.2
Weight (kg): 0.58