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Algebraic Groups and Lie Groups

Algebraic Groups and Lie Groups
A Volume of Papers in Honour of the Late R. W. Richardson

$87.99 (C)

Part of Australian Mathematical Society Lecture Series

A. Borel, M. Brion, A. Carey, P. Jupp, M. K. Murray, J. Carrell, R. Carter, W. A. Casselman, E. Cline, B. Parshall, L. Scott, C. de Concini, C. Procesi, A. Dimca, G. Lehrer, S. Donkin, M. Dyer, A. F. M. Ter Elst, D. W. Robinson, C. K. Fan, G. Lusztig, M. Field, J. C. Jantzen, D. Luna, V. Popov, G. Röhrle, G. W. Schwarz, P. Slodowy, T. A. Springer, R. Steinberg
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  • Date Published: January 1997
  • availability: Available
  • format: Paperback
  • isbn: 9780521585323

$ 87.99 (C)
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About the Authors
  • This volume is a unique and comprehensive collection of works by some of the world's leading researchers. Papers on algebraic geometry, algebraic groups, and Lie groups are woven together to form a connection between the study of symmetry and certain algebraic structures. This connection reflects the interests of R. W. Richardson who studied the links between representation theory and the structure and geometry of algebraic groups. In particular, the papers address Kazhdan-Lusztig theory, quantum groups, spherical varieties, symmetric varieties, cohomology of varieties, purity, Schubert geometry, invariant theory and symmetry breaking. For those working on algebraic and Lie groups, this book will be a wealth of fascinating material.

    • Top contributors
    • State of the art research
    • Excellent survey articles
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    Product details

    • Date Published: January 1997
    • format: Paperback
    • isbn: 9780521585323
    • length: 396 pages
    • dimensions: 229 x 152 x 22 mm
    • weight: 0.58kg
    • availability: Available
  • Table of Contents

    1. Class functions, conjugacy classes and commutators in semisimple Lie theory A. Borel
    2. Curves and divisors in spherical varieties M. Brion
    3. The phylon group and statistics A. Carey, P. Jupp and M. K. Murray
    4. The span of the tangent cones of a Schubert variety J. Carrell
    5. Canonical bases, reduced words and Lusztig's piecewise-linear function R. Carter
    6. Geometric rationality of Satake compactifications W. A. Casselman
    7. Graded and non-graded Kazhdan-Lusztig theories E. Cline, B. Parshall and L. Scott
    8. Quantum Schubert cells and representations at roots of 1 C. de Concini and C. Procesi
    9. Purity and equivariant weight polynomials A. Dimca and G. Lehrer
    10. The restriction of the regular module for a quantum group S. Donkin
    11. On coefficients in Kazhdan-Lusztig polynomials M. Dyer
    12. Spectral estimates for positive Rocklands operators A. F. M. Ter Elst and D. W. Robinson
    13. Factorization of certain exponentials in Lie groups C. K. Fan and G. Lusztig
    14. Symmetry breaking for equivariant maps M. Field
    15. Low dimensional representations of reductive groups J. C. Jantzen
    16. Grosses cellules pour les variétés sphériques D. Luna
    17. Total positivity and canonical bases G. Lusztig
    18. On the number of orbits of a parabolic subgroup on its unipotent radical V. Popov and G. Röhrle
    19. On a homomorphism of Harish-Chandra G. W. Schwarz
    20. Two notes on a finiteness problem in the representation theory of finite groups P. Slodowy
    21. A description of B-orbits on symmetric varieties T. A. Springer
    22. Nagata's example R. Steinberg.

  • Editor

    G. I. Lehrer, University of Sydney

    Contributors

    A. Borel, M. Brion, A. Carey, P. Jupp, M. K. Murray, J. Carrell, R. Carter, W. A. Casselman, E. Cline, B. Parshall, L. Scott, C. de Concini, C. Procesi, A. Dimca, G. Lehrer, S. Donkin, M. Dyer, A. F. M. Ter Elst, D. W. Robinson, C. K. Fan, G. Lusztig, M. Field, J. C. Jantzen, D. Luna, V. Popov, G. Röhrle, G. W. Schwarz, P. Slodowy, T. A. Springer, R. Steinberg

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