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Matrix units and Schur elements for the degenerate cyclotomic Hecke algebras (1110.1735v1)
Published 8 Oct 2011 in math.RT and math.RA
Abstract: The paper uses the cellular basis of the (semi-simple) degenerate cyclotomic Hecke algebras to investigate these algebras exhaustively. As a consequence, we describe explicitly the "Young's seminormal form" and a orthogonal bases for Specht modules and determine explicitly the closed formula for the natural bilinear form on Specht modules and Schur elements for the degenerate cyclotomic Hekce algebras.
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