Seminormal bases of cyclotomic Hecke-Clifford algebras
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arXiv
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| Main Authors: | , |
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| Format: | Preprint |
| Published: |
2025
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| _version_ | 1866918267694612480 |
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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 |