Weyl modules for Equivariant map Lie superalgebras
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arXiv
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| Auteurs principaux: | , |
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| Format: | Preprint |
| Publié: |
2025
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| _version_ | 1866915593691594752 |
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| author | K, Lakshmi S Nayak, Saudamini |
| author_facet | K, Lakshmi S Nayak, Saudamini |
| contents | We define Weyl functors, global modules for equivariant map Lie superalgebras $(\g \otimes A)^Γ$, where $\g$ is basic classical $\mathbb{C}$- Lie superalgebra and $A$ is an associative commutative unital $\mathbb{C}$-algebra. Under certain condition on the triangular decomposition of $\g$ we prove that global Weyl modules are universal highest weight objects in certain category. Then with the assumption that $A$ is finitely generated, it is shown that the global Weyl modules are finitely generated. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2511_01631 |
| institution | arXiv |
| publishDate | 2025 |
| record_format | arxiv |
| spellingShingle | Weyl modules for Equivariant map Lie superalgebras K, Lakshmi S Nayak, Saudamini Representation Theory 17B65, 17B10 We define Weyl functors, global modules for equivariant map Lie superalgebras $(\g \otimes A)^Γ$, where $\g$ is basic classical $\mathbb{C}$- Lie superalgebra and $A$ is an associative commutative unital $\mathbb{C}$-algebra. Under certain condition on the triangular decomposition of $\g$ we prove that global Weyl modules are universal highest weight objects in certain category. Then with the assumption that $A$ is finitely generated, it is shown that the global Weyl modules are finitely generated. |
| title | Weyl modules for Equivariant map Lie superalgebras |
| topic | Representation Theory 17B65, 17B10 |
| url | https://arxiv.org/abs/2511.01631 |