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 Sn-module structure of the relatively free algebra of L.
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Open access funding provided by Università degli Studi di Bari Aldo Moro within the CRUI-CARE Agreement. Chia Zargeh was supported by postdoctoral scholarship CNPq (Conselho Nacional de Desenvolvimento Científico e Tecnológico - Brasil) grant-152453/2019-9 and CAPES (Coordenação de Aperfeiçoamento de Pessoal de Nível Superior) grant-88887 318997/2019-00.
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Presented by: Vyjayanthi Chari
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Centrone, L., Zargeh, C. Varieties of Null-Filiform Leibniz Algebras Under the Action of Hopf Algebras. Algebr Represent Theor 26, 631–648 (2023). https://doi.org/10.1007/s10468-021-10105-2
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DOI: https://doi.org/10.1007/s10468-021-10105-2