Reflection arrangements and ribbon representations

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Reflection arrangements and ribbon representations

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2013-09

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Ehrenborg and Jung recently related the order complex for the lattice of d-divisible partitions with the simplicial complex of pointed ordered set partitions via a homotopy equivalence. The latter has top homology naturally identified as a Specht module. Their work unifies that of Calderbank, Hanlon, Robinson, and Wachs. By focusing on the underlying geometry, we strengthen and extend these results from type A to all real reflection groups and the complex reflection groups known as Shephard groups.

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University of Minnesota Ph.D. dissertation. September 2013. Major: Mathematics. Advisor: Victor Reiner. 1 computer file (PDF); v, 57 pages.

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