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Softcover ISBN:  9780821851616 
Product Code:  CONM/153 
List Price:  $130.00 
MAA Member Price:  $117.00 
AMS Member Price:  $104.00 
eBook ISBN:  9780821877449 
Product Code:  CONM/153.E 
List Price:  $125.00 
MAA Member Price:  $112.50 
AMS Member Price:  $100.00 
Softcover ISBN:  9780821851616 
eBook ISBN:  9780821877449 
Product Code:  CONM/153.B 
List Price:  $255.00 $192.50 
MAA Member Price:  $229.50 $173.25 
AMS Member Price:  $204.00 $154.00 

Book DetailsContemporary MathematicsVolume: 153; 1993; 200 ppMSC: Primary 20; Secondary 14
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 KacMoody 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.
ReadershipSpecialists and or students concentrating in algebraic geometry, algebraic groups, or invariant theory.

Table of Contents

Articles

Walter Feit — Extending Steinberg characters [ MR 1247494 ]

I. Grojnowski and G. Lusztig — A comparison of bases of quantized enveloping algebras [ MR 1247495 ]

Robert M. Guralnick and Al Weiss — Transitive permutation lattices in the same genus and embeddings of groups [ MR 1247496 ]

William Haboush and Niels Lauritzen — Varieties of unseparated flags [ MR 1247497 ]

V. Lakshmibai — Bases for Demazure modules for symmetrizable KacMoody algebras [ MR 1247498 ]

Kailash C. Misra — Representations of quantum affine Lie algebras and crystal bases [ MR 1247499 ]

M. S. Raghunathan and T. N. Venkataramana — The first Betti number of arithmetic groups and the congruence subgroup problem [ MR 1247500 ]

R. W. Richardson and T. A. Springer — Combinatorics and geometry of $K$orbits on the flag manifold [ MR 1247501 ]

Gerhard E. Röhrle — On extraspecial parabolic subgroups [ MR 1247502 ]

Gary M. Seitz — Bounds for dimensions of weight spaces of maximal tori [ MR 1247503 ]

C. S. Seshadri — Vector bundles on curves [ MR 1247504 ]


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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 KacMoody 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.
Specialists and or students concentrating in algebraic geometry, algebraic groups, or invariant theory.

Articles

Walter Feit — Extending Steinberg characters [ MR 1247494 ]

I. Grojnowski and G. Lusztig — A comparison of bases of quantized enveloping algebras [ MR 1247495 ]

Robert M. Guralnick and Al Weiss — Transitive permutation lattices in the same genus and embeddings of groups [ MR 1247496 ]

William Haboush and Niels Lauritzen — Varieties of unseparated flags [ MR 1247497 ]

V. Lakshmibai — Bases for Demazure modules for symmetrizable KacMoody algebras [ MR 1247498 ]

Kailash C. Misra — Representations of quantum affine Lie algebras and crystal bases [ MR 1247499 ]

M. S. Raghunathan and T. N. Venkataramana — The first Betti number of arithmetic groups and the congruence subgroup problem [ MR 1247500 ]

R. W. Richardson and T. A. Springer — Combinatorics and geometry of $K$orbits on the flag manifold [ MR 1247501 ]

Gerhard E. Röhrle — On extraspecial parabolic subgroups [ MR 1247502 ]

Gary M. Seitz — Bounds for dimensions of weight spaces of maximal tori [ MR 1247503 ]

C. S. Seshadri — Vector bundles on curves [ MR 1247504 ]