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Algebraic Groups and their Representations

  • Book
  • © 1998

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Editors:
  1. R. W. Carter

    1. Mathematics Institute, University of Warwick, Coventry, UK

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  2. J. Saxl

    1. Department of Pure Mathematics and Mathematical Statistics, University of Cambridge, UK

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    You can also search for this editor in PubMed   Google Scholar

Part of the book series: Nato Science Series C: (ASIC, volume 517)

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Table of contents (19 chapters)

  1. Front Matter

    Pages i-xviii
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  2. Linear and Nonlinear Group Actions, and the Newton Institute Program

    • Leonard Scott
    Pages 1-23

  3. Tilting Modules for Algebraic Groups

    • Henning Haahr Andersen
    Pages 25-42

  4. Semisimplicity in Positive Characteristic

    • George J. McNinch
    Pages 43-52

  5. Homology Bases Arising from Reductive Groups Over a Finite Field

    • G. Lusztig
    Pages 53-72

  6. Highest Weight Modules Associated to Parabolic Subgroups with Commutative Unipotent Radicals

    • T. Tanisaki
    Pages 73-90

  7. Symmetric Groups and Schur Algebras

    • Gordon James
    Pages 91-102

  8. Branching Rules for Symmetric Groups and Applications

    • A. S. Kleshchev
    Pages 103-130

  9. Endomorphism Algebras and Representation Theory

    • E. Cline, B. Parshall, L. L. Scott
    Pages 131-149

  10. Representations of Simple Lie Algebras: Modern Variations on a Classical Theme

    • R. W. Carter
    Pages 151-173

  11. The Path Model, the Quantum Frobenius Map and Standard Monomial Theory

    • Peter Littelmann
    Pages 175-212

  12. Arithmetical Properties of Blocks

    • Geoffrey R. Robinson
    Pages 213-232

  13. The Isomorphism and Isogeny Theorems for Reductive Algebraic Groups

    • Robert Steinberg
    Pages 233-240

  14. Double Cosets in Algebraic Groups

    • Gary M. Seitz
    Pages 241-257

  15. Dense Orbits and Double Cosets

    • Jonathan Brundan
    Pages 259-274

  16. Subgroups of Exceptional Groups

    • Martin W. Liebeck
    Pages 275-290

  17. Overgroups of Special Elements in Simple Algebraic Groups and Finite Groups of Lie Type

    • J. Saxl
    Pages 291-300

  18. Some Applications of Subgroup Structure to Probabilistic Generation and Covers of Curves

    • Robert M. Guralnick
    Pages 301-320

  19. Quasithin Groups

    • Michael Aschbacher
    Pages 321-340

  20. Tame Groups of Odd and Even Type

    • A. V. Borovik
    Pages 341-366
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About this book

This volume contains 19 articles written by speakers at the Advanced Study Institute on 'Modular representations and subgroup structure of al­ gebraic groups and related finite groups' held at the Isaac Newton Institute, Cambridge from 23rd June to 4th July 1997. We acknowledge with gratitude the financial support given by the NATO Science Committee to enable this ASI to take place. Generous financial support was also provided by the European Union. We are also pleased to acknowledge funds given by EPSRC to the Newton Institute which were used to support the meeting. It is a pleasure to thank the Director of the Isaac Newton Institute, Professor Keith Moffatt, and the staff of the Institute for their dedicated work which did so much to further the success of the meeting. The editors wish to thank Dr. Ross Lawther and Dr. Nick Inglis most warmly for their help in the production of this volume. Dr. Lawther in particular made an invaluable contribution in preparing the volume for submission to the publishers. Finally we wish to thank the distinguished speakers at the ASI who agreed to write articles for this volume based on their lectures at the meet­ ing. We hope that the volume will stimulate further significant advances in the theory of algebraic groups.

Editors and Affiliations

  • Mathematics Institute, University of Warwick, Coventry, UK

    R. W. Carter

  • Department of Pure Mathematics and Mathematical Statistics, University of Cambridge, UK

    J. Saxl

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