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<p>In this paper, we describe the 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.</p>

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Seminormal bases of cyclotomic Hecke–Clifford algebras

  • 期刊论文

  • 发表日期：

    2025年10月7日

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  • Shuo Li,
  • Lei Shi

摘要

In this paper, we describe the 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.