Oriented Temperley--Lieb algebras and combinatorial Kazhdan--Lusztig theory
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arXiv
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| Main Authors: | , , , , |
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| Format: | Preprint |
| Published: |
2022
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| _version_ | 1866916523773263872 |
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| author | Bowman, Chris De Visscher, Maud Farrell, Niamh Hazi, Amit Norton, Emily |
| author_facet | Bowman, Chris De Visscher, Maud Farrell, Niamh Hazi, Amit Norton, Emily |
| contents | We define oriented Temperley--Lieb algebras for classical Hermitian symmetric spaces. This allows us to explain the existence of closed combinatorial formulae for the Kazhdan--Lusztig polynomials for these spaces. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2212_09402 |
| institution | arXiv |
| publishDate | 2022 |
| record_format | arxiv |
| spellingShingle | Oriented Temperley--Lieb algebras and combinatorial Kazhdan--Lusztig theory Bowman, Chris De Visscher, Maud Farrell, Niamh Hazi, Amit Norton, Emily Representation Theory Combinatorics We define oriented Temperley--Lieb algebras for classical Hermitian symmetric spaces. This allows us to explain the existence of closed combinatorial formulae for the Kazhdan--Lusztig polynomials for these spaces. |
| title | Oriented Temperley--Lieb algebras and combinatorial Kazhdan--Lusztig theory |
| topic | Representation Theory Combinatorics |
| url | https://arxiv.org/abs/2212.09402 |