Cohomology of coloured partition algebras
Fuente:
arXiv
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| Main Authors: | , |
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| Format: | Preprint |
| Published: |
2024
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| _version_ | 1866915900367568896 |
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| author | Cranch, James Graves, Daniel |
| author_facet | Cranch, James Graves, Daniel |
| contents | Coloured partition algebras were introduced by Bloss and exhibit a Schur-Weyl duality with certain complex reflection groups. In this paper we show that these algebras exhibit homological stability by demonstrating that their homology groups are stably isomorphic to the homology groups of a wreath product, generalizing work of Boyd--Hepworth--Patzt and Boyde for the usual partition algebras. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2411_11776 |
| institution | arXiv |
| publishDate | 2024 |
| record_format | arxiv |
| spellingShingle | Cohomology of coloured partition algebras Cranch, James Graves, Daniel Algebraic Topology 16E40, 20J06, 16E30 Coloured partition algebras were introduced by Bloss and exhibit a Schur-Weyl duality with certain complex reflection groups. In this paper we show that these algebras exhibit homological stability by demonstrating that their homology groups are stably isomorphic to the homology groups of a wreath product, generalizing work of Boyd--Hepworth--Patzt and Boyde for the usual partition algebras. |
| title | Cohomology of coloured partition algebras |
| topic | Algebraic Topology 16E40, 20J06, 16E30 |
| url | https://arxiv.org/abs/2411.11776 |