English

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 (\gA)Γ(\g \otimes A)^{\Gamma}, where \g\g is basic classical C\mathbb{C}- Lie superalgebra and AA is an associative commutative unital C\mathbb{C}-algebra. Under certain condition on the triangular decomposition of \g\g we prove that global Weyl modules are universal highest weight objects in certain category. Then with the assumption that AA is finitely generated, it is shown that the global Weyl modules are finitely generated.

Keywords

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}
}

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R2 v1 2026-07-01T07:19:23.072Z