Matrix units and Schur elements for the degenerate cyclotomic Hecke algebras

Details Matrix units and Schur elements for the degenerate cyclotomic Hecke algebras Matrix units and Schur elements for the degenerate cyclotomic Hecke algebras

2011-10-08

arxiv.org/abs/1110.1735v1

Mathematics

Representation Theory

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

Scientific paper

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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