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| Main Authors: | , |
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| Format: | Preprint |
| Published: |
2025
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| Subjects: | |
| Online Access: | https://arxiv.org/abs/2508.19845 |
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| _version_ | 1866910015017713664 |
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| author | Müller, Monique Walton, Chelsea |
| author_facet | Müller, Monique Walton, Chelsea |
| contents | We use representations of braid groups of Coxeter types BC and D to produce invariants of representation categories of quasitriangular coideal subalgebras. Such categories form a prevalent class of braided module categories. This is analogous to how representations of braid groups of Coxeter type A produce invariants of representation categories of quasitriangular Hopf algebras, a prevalent class of braided monoidal categories. This work also includes concrete examples, and classification results for $K$-matrices of quasitriangular coideal subalgebras. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2508_19845 |
| institution | arXiv |
| publishDate | 2025 |
| record_format | arxiv |
| spellingShingle | Morita invariants of quasitriangular coideal subalgebras Müller, Monique Walton, Chelsea Quantum Algebra Representation Theory 16T05, 18M15, 20F36 We use representations of braid groups of Coxeter types BC and D to produce invariants of representation categories of quasitriangular coideal subalgebras. Such categories form a prevalent class of braided module categories. This is analogous to how representations of braid groups of Coxeter type A produce invariants of representation categories of quasitriangular Hopf algebras, a prevalent class of braided monoidal categories. This work also includes concrete examples, and classification results for $K$-matrices of quasitriangular coideal subalgebras. |
| title | Morita invariants of quasitriangular coideal subalgebras |
| topic | Quantum Algebra Representation Theory 16T05, 18M15, 20F36 |
| url | https://arxiv.org/abs/2508.19845 |