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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

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

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  • This volume contains original research articles by many of the world's leading researchers in algebraic and Lie groups. Its inclination is algebraic and geometric, although analytical aspects are included. The central theme reflects the interests of R. W. Richardson, viz. connections between representation theory and the structure and geometry of algebraic groups. Particular topics addressed include Kazhdan-Lusztig theory, quantum groups, spherical varieties, symmetric varieties, cohomology of varieties, purity, Schubert geometry, invariant theory and symmetry breaking. The theory of canonical bases and their geometric context is a theme of several of the contributions as is the orbit theory of algebraic group actions on affine varieties. All workers on algebraic and Lie groups will find that this book contains a wealth of interesting 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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