A family of affine Weyl group representations
- Cite this article as:
- Sommers, E. Transformation Groups (1997) 2: 375. doi:10.1007/BF01234541
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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.