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Seminormal bases of cyclotomic Hecke-Clifford algebras

Published 21 Feb 2025 in math.RT and math.GR | (2502.15170v3)

Abstract: In this paper, we describe actions of standard generators on certain bases of simple modules for semisimple cyclotomic Hecke-Clifford superalgebras. As applications, we explicitly construct a complete set of primitive idempotents and seminormal bases for these algebras.

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