Pure and Applied Mathematics Quarterly
Volume 9 (2013)
Boltje-Maisch resolutions of Specht modules
Pages: 437 – 459
In , 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.
Specht module, Boltje-Maisch complex, Hecke algebra, Kempf vanishing theorem, Woodcock condition
2010 Mathematics Subject Classification