A Frobenius formula for the characters of the Hecke algebras (Q1191348)

In this paper, characters for representations of the Hecke algebra of type \(A_ n\) are studied. The natural action of this Hecke algebra on the tensor products of the standard representation of the quantum group \(U_ q(sl(n))\) is used. By rewriting this action in an appropriate form, a Frobenius type formula for the characters is deduced. Using this formula, a combinatorial rule is given to compute the irreducible characters of the Hecke algebra, and some tables are given. Connections with Hall-Littlewood symmetric functions and Kronecker products of symmetric groups are pointed out.