Group gradings on classical Lie superalgebras
Rings and Algebras
2025-07-01 v1
Abstract
We classify, up to isomorphism, the group gradings on the non-exceptional classical simple Lie superalgebras, except for type A(1,1), over an algebraically closed field of characteristic zero. To this end, we study graded-simple and graded-superinvolution-simple associative superalgebras satisfying the descending chain condition on graded left superideals, which allows us to classify abelian group gradings on finite-dimensional simple and superinvolution-simple associative superalgebras over an algebraically closed field of characteristic different from 2.
Keywords
Cite
@article{arxiv.2506.23037,
title = {Group gradings on classical Lie superalgebras},
author = {Caio De Naday Hornhardt and Mikhail Kochetov},
journal= {arXiv preprint arXiv:2506.23037},
year = {2025}
}
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59 pages