Murnaghan-nakayama Rules for Characters of Iwahori-hecke Algebras of Classical Type
نویسنده
چکیده
In this paper we give Murnaghan-Nakayama type formulas for computing the irreducible characters of the Iwahori-Hecke algebras of types An−1, Bn, and Dn. Our method is a generalization of a derivation of the Murnaghan-Nakayama formula for the irreducible characters of the symmetric group given by Curtis Greene. Greene’s approach is to sum up the diagonal entries of the matrices of certain cycle permutations in Young’s seminormal representations. The analogues of the Young seminormal representations for the Iwahori-Hecke algebras of types An−1, Bn, and Dn were given by Hoefsmit.
منابع مشابه
Characters of Iwahori - Hecke Algebras
Iwahori-Hecke algebras for the innnite series of complex reeection groups G(r; p; n) were constructed recently in the work of Ariki and Koike, Brou e and Malle, and Ariki. In this paper we give Murnaghan-Nakayama type formulas for computing the irreducible characters of these algebras. Our method is a generalization of that in our earlier paper in which we derived Murnaghan-Nakayama rules for t...
متن کاملMurnaghan-nakayama Rules for Characters of Iwahori-hecke Algebras of Classical Type
In this paper we give Murnaghan-Nakayama type formulas for computing the irre-ducible characters of the Iwahori-Hecke algebras of types A n?1 , B n and D n. Our method is a generalization of a derivation of the Murnaghan-Nakayama formula for the irreducible characters of the symmetric group given by Curtis Greene Gr]. Greene's approach is to sum up the diagonal entries of the matrices of certai...
متن کاملMurnaghan-Nakayama rules for characters of Iwahori-Hecke algebras of the complex reflection groups G(r,p,n)
Iwahori-Hecke algebras for the infinite series of complex reflection groups G(r, p, n) were constructed recently in the work of Ariki and Koike [AK], Broué and Malle [BM], and Ariki [Ari]. In this paper we give Murnaghan-Nakayama type formulas for computing the irreducible characters of these algebras. Our method is a generalization of that in our earlier paper [HR] in which we derived Murnagha...
متن کاملMurnaghan-Nakayama Rules for the Characters of the Wenzl (k, l)-Representations of the Iwahori-Hecke Algebras of type A
For a commutative ring A and a ∈ A, define H n (a) to be the A-algebra (with 1) presented by generators g1, . . . , gn−1 and by relations: gigj = gjgi (|i− j| ≥ 2), gigi+1gi = gi+1gigi+1 and (gi − a)(gi + 1) = 0. If A = C, the C-algebra H n (a) is denoted by Hn(a) for brevity. The algebra H n (a) is called the Iwahori-Hecke algebra of type An−1. Clearly H n (1) coincides with the group algebra ...
متن کاملA super Frobenius formula for the characters of Iwahori-Hecke algebras
In this paper, we establish a super Frobenius formula for the characters of Iwahori-Hecke algebras. We define Hall-Littlewood supersymmetric functions in a standard manner to make supersymmetric functions from symmetric functions, and investigate some properties of supersymmetric functions. Based on Schur-Weyl reciprocity between Iwahori-Hecke algebras and the general quantum super algebras, wh...
متن کامل