Resumen de Specht modules and Kazhdan-Lusztig cells in type Bn

Meinolf Geck, Lacrimioara Iancu, Christos Pallikaros

• 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.