Matrix units and Schur elements for the degenerate cyclotomic Hecke algebras

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.

arXiv commentComments most welcome! arXiv admin note: substantial text overlap with arXiv:math/0108164 by a different author

References in corpus (2)

• Blocks of cyclotomic Hecke algebras and Khovanov-Lauda algebras
• Graded decomposition numbers for cyclotomic Hecke algebras

Cited by in corpus (1)

• Fusion procedure for Degenerate cyclotomic Hecke algebras