Overview

This book contains the proceedings of the Conference on Linear Algebraic Groups and Their Representations, held at UCLA in March 1992. The central theme is the fundamental nature of this subject and its interaction with a wide variety of active areas in mathematics and physics. Linear algebraic groups and their representations interface with a broad range of areas through diverse avenues-with algebraic geometry through moduli spaces, with classical invariant theory through group actions on polynomial rings, with enumerative and combinatorial geometry through flag manifolds, and with theoretical physics through Kac-Moody algebras and quantum groups. Collected here are both surveys and original contributions by eminent specialists, reflecting current developments in the subject. This book is one of the few available sources that brings together such a wide variety of themes under a single unifying perspective.

Full Product Details

Author:   Richard S. Elman ,  Murray M. Schacher ,  Veeraualli Seshadri Varadarajan
Publisher:   American Mathematical Society
Imprint:   American Mathematical Society
Volume:   No. 153
Dimensions:   Width: 17.80cm , Height: 1.20cm , Length: 25.40cm
Weight:   0.397kg
ISBN:  

9780821851616

ISBN 10:   0821851616
Pages:   200
Publication Date:   30 October 1993
Audience:   Professional and scholarly ,  Professional & Vocational
Format:   Paperback
Publisher's Status:   Active
Availability:   Out of stock  
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Table of Contents

Extending Steinberg characters by W. Feit A comparison of bases of quantized enveloping algebras by I. Grojnowski and G. Lusztig Transitive permutation lattices in the same genus and embeddings of groups by R. M. Guralnick and A. Weiss Varieties of unseparated flags by W. Haboush and N. Lauritzen Bases for Demazure modules for symmetrizable Kac-Moody algebras by V. Lakshmibai Representations of quantum affine Lie algebras and crystal bases by K. C. Misra The first Betti number of arithmetic groups and the congruence subgroup problem by M. S. Raghunathan and T. N. Venkataramana Combinatorics and geometry of $K$-orbits on the flag manifold by R. W. Richardson and T. A. Springer On extraspecial parabolic subgroups by G. E. Rohrle Bounds for dimensions of weight spaces of maximal tori by G. M. Seitz Vector bundles on curves by C. S. Seshadri.

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