Mickelsson algebras and inverse Shapovalov form
Fuente:
arXiv
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| Autori principali: | , |
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| Natura: | Preprint |
| Pubblicazione: |
2023
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| _version_ | 1866913825771487232 |
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| author | Mudrov, Andrey Stukopin, Vladimir |
| author_facet | Mudrov, Andrey Stukopin, Vladimir |
| contents | Let $\mathcal{A}$ be an associative algebra containing the classical or quantum universal enveloping algebra $U$ of a semi-simple complex Lie algebra. Let $\mathcal{J}\subset \mathcal{A}$ designate the left ideal generated by positive root vectors in $U$. We construct the reduction algebra of the pair $(\mathcal{A},\mathcal{J})$ via the inverse Shapovalov form of $U$. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2309_05318 |
| institution | arXiv |
| publishDate | 2023 |
| record_format | arxiv |
| spellingShingle | Mickelsson algebras and inverse Shapovalov form Mudrov, Andrey Stukopin, Vladimir Quantum Algebra Representation Theory Let $\mathcal{A}$ be an associative algebra containing the classical or quantum universal enveloping algebra $U$ of a semi-simple complex Lie algebra. Let $\mathcal{J}\subset \mathcal{A}$ designate the left ideal generated by positive root vectors in $U$. We construct the reduction algebra of the pair $(\mathcal{A},\mathcal{J})$ via the inverse Shapovalov form of $U$. |
| title | Mickelsson algebras and inverse Shapovalov form |
| topic | Quantum Algebra Representation Theory |
| url | https://arxiv.org/abs/2309.05318 |