Let L be an n-dimensional null-filiform Leibniz algebra over a field K. We consider a finite dimensional cocommutative Hopf algebra or a Taft algebra H and we describe the H-actions on L. Moreover we provide the set of H-identities and the description of the S_n-module structure of the relatively free algebra of L.
Varieties of Null-Filiform Leibniz Algebras Under the Action of Hopf Algebras
Lucio Centrone
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2021-01-01
Abstract
Let L be an n-dimensional null-filiform Leibniz algebra over a field K. We consider a finite dimensional cocommutative Hopf algebra or a Taft algebra H and we describe the H-actions on L. Moreover we provide the set of H-identities and the description of the S_n-module structure of the relatively free algebra of L.File in questo prodotto:
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