2000 character limit reached
The Symbolic and cancellation-free formulae for Schur elements (1110.6069v2)
Published 27 Oct 2011 in math.RT and math.RA
Abstract: In this paper we give a symbolical formula and a cancellation-free formula for the Schur elements associated to the simple modules of the degenerate cyclotomic Hecke algebras. As some direct applications, we show that the Schur elements are symmetric with respect to the natural symmetric group action and are integral coefficients polynomials and we give a different proof of Ariki-Mathas-Rui's criterion on the semi-simplicity of degenerate cyclotomic Hecke algebras.