Transformation Groups

, Volume 2, Issue 4, pp 375–390

A family of affine Weyl group representations

  • E. Sommers

DOI: 10.1007/BF01234541

Cite this article as:
Sommers, E. Transformation Groups (1997) 2: 375. doi:10.1007/BF01234541


In this paper we explicitly determine the virtual representations of the finite Weyl subgroups of the affine Weyl group on the cohomology of the space of affine flags containing a family of elementsnt in an affine Lie algebra. We also compute the Euler characteristic of the space of partial flags containingnt and give a connection with hyperplane arrangements.

Copyright information

© Birkhäuser Boston 1997

Authors and Affiliations

  • E. Sommers
    • 1
  1. 1.School of MathematicsI.A.S.PrincetonUSA

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