Covexillary Schubert varieties and Kazhdan-Lusztig Polynomials
Fuente:
arXiv
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| Autore principale: | |
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| Natura: | Preprint |
| Pubblicazione: |
2021
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| _version_ | 1866917738295853056 |
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| author | Jeon, Minyoung |
| author_facet | Jeon, Minyoung |
| contents | We establish combinatorial and inductive formulas for Kazhdan-Lusztig polynomials associated to covexillary elements in classical types, extending results of Boe, Lascoux-Schützenberger, Sankaran-Vanchinathan, and Zelevinsky for Grassmannians of classical types. The proof uses intersection cohomology theory and the isomorphism of Kazhdan-Lusztig varieties from Anderson-Ikeda-Jeon-Kawago. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2112_06337 |
| institution | arXiv |
| publishDate | 2021 |
| record_format | arxiv |
| spellingShingle | Covexillary Schubert varieties and Kazhdan-Lusztig Polynomials Jeon, Minyoung Algebraic Geometry Combinatorics Representation Theory 14M15 (Primary), 14F43, 05E14 (Secondary) We establish combinatorial and inductive formulas for Kazhdan-Lusztig polynomials associated to covexillary elements in classical types, extending results of Boe, Lascoux-Schützenberger, Sankaran-Vanchinathan, and Zelevinsky for Grassmannians of classical types. The proof uses intersection cohomology theory and the isomorphism of Kazhdan-Lusztig varieties from Anderson-Ikeda-Jeon-Kawago. |
| title | Covexillary Schubert varieties and Kazhdan-Lusztig Polynomials |
| topic | Algebraic Geometry Combinatorics Representation Theory 14M15 (Primary), 14F43, 05E14 (Secondary) |
| url | https://arxiv.org/abs/2112.06337 |