A family of affine Weyl group representations |
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Authors: | E Sommers |
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Institution: | (1) School of Mathematics, I.A.S., 08540 Princeton, NJ, USA |
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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.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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Keywords: | |
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