Two-row nilpotent orbits of cyclic quivers |
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Authors: | A. Henderson |
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Affiliation: | (1) School of Mathematics and Statistics, University of Sydney, NSW 2006, Australia (e-mail: anthonyh@maths.usyd.edu.au) , AU |
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Abstract: | We prove that the local intersection cohomology of nilpotent orbit closures of cyclic quivers is trivial when the two orbits involved correspond to partitions with at most two rows. This gives a geometric proof of a result of Graham and Lehrer, which states that standard modules of the affine Hecke algebra of GLd corresponding to nilpotents with at most two Jordan blocks are multiplicity-free. Received: 7 February 2002 / Published online: 8 November 2002 |
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