Geometric structure of conjugacy classes in algebraic groups

  • T. A. Springer
Part of the NATO ASI Series book series (ASIC, volume 333)


These notes reflect rather faithfully the lectures given at the conference. Their aim was to provide a — not too technical — introduction to the topic of the title. For details the reader can consult the cited literature.


Conjugacy Class Algebraic Group Weyl Group Maximal Torus Closed Subgroup 
These keywords were added by machine and not by the authors. This process is experimental and the keywords may be updated as the learning algorithm improves.


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    W. Borho, J.-L. Brylinski, R. MacPherson, Nilpotent orbits, primitive ideals, and characteristic classes, Birkhäuser, 1989.Google Scholar
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    A. Borel et al., Seminar on algebraic groups and related finite groups, Lect. Notes in Math. no. 131, 2nd ed., Springer, 1986.Google Scholar
  3. [Ca]
    R.W. Carter, Finite groups of Lie type, Wiley, 1985.Google Scholar
  4. [CLP]
    C. De Concini, G. Lusztig, C. Procesi, Homology of the zero-set of a nilpotent vector field on a flag manifold, J. Am. Math. Soc. 1 (1988), 15–34.zbMATHCrossRefGoogle Scholar
  5. [SI]
    P. Slodowy, Simple singularities and simple algebraic groups. Lect. Notes in Math. no. 815, Springer, 1980.Google Scholar
  6. [Spa]
    N. Spaltenstein, Classes unipotentes et sous-groupes de Borel, Lect. Notes in Math. no. 946, Springer, 1982.Google Scholar
  7. [Spr]
    T.A. Springer, Linear algebraic groups, Birkhäuser, 1981.Google Scholar

Copyright information

© Springer Science+Business Media Dordrecht 1991

Authors and Affiliations

  • T. A. Springer
    • 1
  1. 1.Mathematisch Instituut, Rijksuniversiteit UtrechtUtrechtThe Netherlands

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