We introduce a class of finite dimensional superalgebras over an algebraically closed field of characteristic zero, whose Grassmann envelopes generate all $\ast$-minimal varieties. Moreover, we prove that any affine minimal variety of superalgebras with superinvolution is generated by a suitable element in this selected class.
Minimal ∗-varieties and superinvolutions
Nardozza Vincenzo
2024-01-01
Abstract
We introduce a class of finite dimensional superalgebras over an algebraically closed field of characteristic zero, whose Grassmann envelopes generate all $\ast$-minimal varieties. Moreover, we prove that any affine minimal variety of superalgebras with superinvolution is generated by a suitable element in this selected class.File in questo prodotto:
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(2024) - DVN - Minimal star-varieties and superinvolutions.pdf
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