Categorical diagonalization of full twists
Fuente:
arXiv
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| Autores principales: | , |
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| Formato: | Preprint |
| Publicado: |
2017
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| Materias: | |
| Acceso en línea: | |
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| _version_ | 1866913813225275392 |
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| author | Elias, Ben Hogancamp, Matthew |
| author_facet | Elias, Ben Hogancamp, Matthew |
| contents | We conjecture that the complex of Soergel bimodules associated with the full twist braid is categorically diagonalizable, for any finite Coxeter group. This utilizes the theory of categorical diagonalization introduced earlier by the authors. We prove our conjecture in type $A$, and as a result we obtain a categorification of the Young idempotents. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_1801_00191 |
| institution | arXiv |
| publishDate | 2017 |
| record_format | arxiv |
| spellingShingle | Categorical diagonalization of full twists Elias, Ben Hogancamp, Matthew Representation Theory Geometric Topology Quantum Algebra We conjecture that the complex of Soergel bimodules associated with the full twist braid is categorically diagonalizable, for any finite Coxeter group. This utilizes the theory of categorical diagonalization introduced earlier by the authors. We prove our conjecture in type $A$, and as a result we obtain a categorification of the Young idempotents. |
| title | Categorical diagonalization of full twists |
| topic | Representation Theory Geometric Topology Quantum Algebra |
| url | https://arxiv.org/abs/1801.00191 |