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A family of affine Weyl group representations

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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 elementsn t in an affine Lie algebra. We also compute the Euler characteristic of the space of partial flags containingn t and give a connection with hyperplane arrangements.

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Authors and Affiliations

  1. School of Mathematics, I.A.S., 08540, Princeton, NJ, USA

    E. Sommers

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  1. E. Sommers
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This paper forms part of my Ph.D. thesis at M.I.T. I was supported by an NSF Graduate Fellowship and NSF grant DMS 9304580.

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Sommers, E. A family of affine Weyl group representations. Transformation Groups 2, 375–390 (1997). https://doi.org/10.1007/BF01234541

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  • DOI: https://doi.org/10.1007/BF01234541

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