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Linear Algebraic Groups and Their Representations
 
Linear Algebraic Groups and Their Representations
Softcover ISBN:  978-0-8218-5161-6
Product Code:  CONM/153
List Price: $130.00
MAA Member Price: $117.00
AMS Member Price: $104.00
eBook ISBN:  978-0-8218-7744-9
Product Code:  CONM/153.E
List Price: $125.00
MAA Member Price: $112.50
AMS Member Price: $100.00
Softcover ISBN:  978-0-8218-5161-6
eBook: ISBN:  978-0-8218-7744-9
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
Linear Algebraic Groups and Their Representations
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Linear Algebraic Groups and Their Representations
Softcover ISBN:  978-0-8218-5161-6
Product Code:  CONM/153
List Price: $130.00
MAA Member Price: $117.00
AMS Member Price: $104.00
eBook ISBN:  978-0-8218-7744-9
Product Code:  CONM/153.E
List Price: $125.00
MAA Member Price: $112.50
AMS Member Price: $100.00
Softcover ISBN:  978-0-8218-5161-6
eBook ISBN:  978-0-8218-7744-9
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 Details
     
     
    Contemporary Mathematics
    Volume: 1531993; 200 pp
    MSC: 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 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.

    Readership

    Specialists 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 Kac-Moody 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 ]
  • Requests
     
     
    Review Copy – for publishers of book reviews
    Permission – for use of book, eBook, or Journal content
    Accessibility – to request an alternate format of an AMS title
Volume: 1531993; 200 pp
MSC: 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 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.

Readership

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 Kac-Moody 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 ]
Review Copy – for publishers of book reviews
Permission – for use of book, eBook, or Journal content
Accessibility – to request an alternate format of an AMS title
Please select which format for which you are requesting permissions.