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arXiv · 1110.1735

Matrix units and Schur elements for the degenerate cyclotomic Hecke algebras

Deke Zhao
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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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Deke Zhao. 2011-10-08. Matrix units and Schur elements for the degenerate cyclotomic Hecke algebras. https://arxiv.org/abs/1110.1735

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