Weyl modules for Equivariant map Lie superalgebras
Representation Theory
2025-11-04 v1
Abstract
We define Weyl functors, global modules for equivariant map Lie superalgebras , where is basic classical - Lie superalgebra and is an associative commutative unital -algebra. Under certain condition on the triangular decomposition of we prove that global Weyl modules are universal highest weight objects in certain category. Then with the assumption that is finitely generated, it is shown that the global Weyl modules are finitely generated.
Cite
@article{arxiv.2511.01631,
title = {Weyl modules for Equivariant map Lie superalgebras},
author = {Lakshmi S K and Saudamini Nayak},
journal= {arXiv preprint arXiv:2511.01631},
year = {2025}
}
Comments
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