Nil graded algebras associated to triangular matrices and their applications to Soergel Calculus
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arXiv
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| Format: | Preprint |
| Published: |
2023
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| _version_ | 1866910324861435904 |
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| author | Lobos, Diego |
| author_facet | Lobos, Diego |
| contents | We introduce and study a category of algebras strongly connected with the structure of the Gelfand-Tsetlin subalgebras of the endomorphism algebras of Bott-Samelson bimodules. We develop a series of techniques that allow us to obtain optimal presentations for the many Gelfand-Tsetlin subalgebras appearing in the context of the Diagrammatic Soergel Category. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2301_01416 |
| institution | arXiv |
| publishDate | 2023 |
| record_format | arxiv |
| spellingShingle | Nil graded algebras associated to triangular matrices and their applications to Soergel Calculus Lobos, Diego Representation Theory We introduce and study a category of algebras strongly connected with the structure of the Gelfand-Tsetlin subalgebras of the endomorphism algebras of Bott-Samelson bimodules. We develop a series of techniques that allow us to obtain optimal presentations for the many Gelfand-Tsetlin subalgebras appearing in the context of the Diagrammatic Soergel Category. |
| title | Nil graded algebras associated to triangular matrices and their applications to Soergel Calculus |
| topic | Representation Theory |
| url | https://arxiv.org/abs/2301.01416 |