Specht modules and Kazhdan-Lusztig cells in type Bn
Ημερομηνία
2008Source
Journal of Pure and Applied AlgebraVolume
212Issue
6Pages
1310-1320Google Scholar check
Metadata
Εμφάνιση πλήρους εγγραφήςΕπιτομή
Dipper, James and Murphy generalized the classical Specht module theory to the Hecke algebras of type Bn. On the other hand, for any choice of a monomial order on the parameters of type Bn, we obtain the corresponding Kazhdan-Lusztig cell modules. In this paper, we show that the Specht modules are naturally isomorphic to the Kazhdan-Lusztig cell modules if we choose the dominance order on the parameters, as in the "asymptotic case" studied by Bonnafé and the second named author. We also give examples which show that such an isomorphism does not exist for other choices of monomial orders. © 2007 Elsevier Ltd. All rights reserved.