Two-row nilpotent orbits of cyclic quivers

Details Two-row nilpotent orbits of cyclic quivers Two-row nilpotent orbits of cyclic quivers

2001-11-16

arxiv.org/abs/math/0111184v2

Mathematische Zeitschrift 243 (2003), 127-143

Mathematics

Representation Theory

Revised version, clarified in various places. 17 pages, LaTeX and Pstricks

Scientific paper

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 $GL_d$ corresponding to nilpotents with at most two Jordan blocks are multiplicity-free.

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