4 papers
Involutions of Iwahori-Hecke algebras and representations of fixed subalgebras
Hideo Mitsuhashi
We establish branching rules between some Iwahori-Hecke algebra of type B and their subalgebras which are defined as fixed subalgebras by involutions including Goldman involution.…
A super Frobenius formula for the characters of Iwahori-Hecke algebras
Hideo Mitsuhashi
We establish a super Frobenius formula for the characters of Iwahori-Hecke algebras. We show that the Hall-Littlewood sypersymmetric function, up to constant, generates the values…
Schur-Weyl reciprocity between the quantum superalgebra and the Iwahori-Hecke algebra
H. Mitsuhashi
In this paper, we introduce the sign q-permutation representation of the Iwahori-Hecke algebra on the tensor space of the graded vector space. We establish Schur-Weyl reciprocity b…
The q-analogue of the alternating groups and its representations
Hideo Mitsuhashi
We construct a subalgebra of the Hecke algebra of type A. This is a generalization of the group algebra of the alternating groups. All the equivalent classes of irreducible represe…