Transformation Groups

, Volume 2, Issue 4, pp 375–390

A family of affine Weyl group representations

  • E. Sommers
Article

DOI: 10.1007/BF01234541

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

Abstract

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

Personalised recommendations