Boltje-Maisch resolutions of Specht modules

Kefeng Liu (Center of Mathematical Sciences, Zhejiang University, Zhejiang, China; Department of Mathematics, University of California at Los Angeles)

Abstract

In [5], Boltje and Maisch found a permutation complex of Specht modules in representation theory of Hecke algebras, which is the same as the Boltje-Hartmann complex appeared in the representation theory of symmetric groups and general linear groups. In this paper we prove the exactness of Boltje-Maisch complex in the dominant weight case.

Keywords

Specht module, Boltje-Maisch complex, Hecke algebra, Kempf vanishing theorem, Woodcock condition

2010 Mathematics Subject Classification

20G35

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Published 13 November 2013