Seminormal bases of cyclotomic Hecke-Clifford algebras

Fuente: arXiv
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Autori principali: Li, Shuo, Shi, Lei
Natura: Preprint
Pubblicazione: 2025
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author Li, Shuo
Shi, Lei
author_facet Li, Shuo
Shi, Lei
contents 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.
format Preprint
id arxiv_https___arxiv_org_abs_2502_15170
institution arXiv
publishDate 2025
record_format arxiv
spellingShingle Seminormal bases of cyclotomic Hecke-Clifford algebras
Li, Shuo
Shi, Lei
Representation Theory
Group Theory
20C08
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.
title Seminormal bases of cyclotomic Hecke-Clifford algebras
topic Representation Theory
Group Theory
20C08
url https://arxiv.org/abs/2502.15170