Matrix units and Schur elements for the degenerate cyclotomic Hecke algebras
classification
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math.RA
keywords
algebrascyclotomicdegenerateelementsexplicitlyformheckemodules
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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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