On a symplectic quantum Howe duality
Fuente:
arXiv
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| Autores principales: | , |
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| Formato: | Preprint |
| Publicado: |
2023
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| Materias: | |
| Acceso en línea: | |
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| _version_ | 1866910101122580480 |
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| author | Bodish, Elijah Tubbenhauer, Daniel |
| author_facet | Bodish, Elijah Tubbenhauer, Daniel |
| contents | We prove a nonsemisimple quantum version of Howe's duality with the rank 2n symplectic and the rank 2 special linear group acting on the exterior algebra of type C. We also discuss the first steps towards the symplectic analog of harmonic analysis on quantum spheres, give character formulas for various fundamental modules, and construct canonical bases of the exterior algebra. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2303_04264 |
| institution | arXiv |
| publishDate | 2023 |
| record_format | arxiv |
| spellingShingle | On a symplectic quantum Howe duality Bodish, Elijah Tubbenhauer, Daniel Representation Theory Quantum Algebra Rings and Algebras Primary: 17B37, 20G42, Secondary: 05E10, 20G05, 22E46 We prove a nonsemisimple quantum version of Howe's duality with the rank 2n symplectic and the rank 2 special linear group acting on the exterior algebra of type C. We also discuss the first steps towards the symplectic analog of harmonic analysis on quantum spheres, give character formulas for various fundamental modules, and construct canonical bases of the exterior algebra. |
| title | On a symplectic quantum Howe duality |
| topic | Representation Theory Quantum Algebra Rings and Algebras Primary: 17B37, 20G42, Secondary: 05E10, 20G05, 22E46 |
| url | https://arxiv.org/abs/2303.04264 |