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| Format: | Preprint |
| Published: |
2026
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| Subjects: | |
| Online Access: | https://arxiv.org/abs/2605.04303 |
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| _version_ | 1866910194118688768 |
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| author | Moran, Thomas |
| author_facet | Moran, Thomas |
| contents | We define and study two new classes of algebras, called higher-level affine wreath product algebras and higher-level affine Frobenius Hecke algebras. They depend on a Frobenius superalgebra and are defined, respectively, as path algebras of the higher-level affine wreath product category and higher-level affine Frobenius Hecke category. Our constructions produce a broad range of new higher-level algebras under a unified framework. Special cases include higher-level analogues of the degenerate affine Hecke algebra and affine Sergeev algebras, both of which appear to be new. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2605_04303 |
| institution | arXiv |
| publishDate | 2026 |
| record_format | arxiv |
| spellingShingle | Higher-level affine wreath product algebras Moran, Thomas Representation Theory Quantum Algebra 20C08, 18M30, 18M05 We define and study two new classes of algebras, called higher-level affine wreath product algebras and higher-level affine Frobenius Hecke algebras. They depend on a Frobenius superalgebra and are defined, respectively, as path algebras of the higher-level affine wreath product category and higher-level affine Frobenius Hecke category. Our constructions produce a broad range of new higher-level algebras under a unified framework. Special cases include higher-level analogues of the degenerate affine Hecke algebra and affine Sergeev algebras, both of which appear to be new. |
| title | Higher-level affine wreath product algebras |
| topic | Representation Theory Quantum Algebra 20C08, 18M30, 18M05 |
| url | https://arxiv.org/abs/2605.04303 |