Restricted Lie 2-algebras
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DOI: 10.1007/s10114-017-7065-7
Abstract: In this article, we introduce the notions of restricted Lie 2-algebras and crossed modules of restricted Lie algebras, and give a series of examples of restricted Lie 2-algebras. We also construct restricted Lie 2-algebras from… read more here.
Keywords: restricted lie; lie algebras; algebras restricted;
Double Extensions of Restricted Lie (Super)Algebras
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DOI: 10.1007/s40598-020-00149-5
Abstract: A double extension ($\mathscr{D}$ extension) of a Lie (super)algebra $\mathfrak a$ with a non-degenerate invariant symmetric bilinear form $\mathscr{B}$, briefly: a NIS-(super)algebra, is an enlargement of $\mathfrak a$ by means of a central extension and… read more here.
Keywords: lie super; super algebra; restricted lie; mathscr ... See more keywords
Nil restricted Lie algebras of oscillating intermediate growth
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DOI: 10.1016/j.jalgebra.2021.09.003
Abstract: The Grigorchuk and Gupta-Sidki groups are natural examples of self-similar finitely generated periodic groups. The author constructed their analogue in case of restricted Lie algebras of characteristic 2, Shestakov and Zelmanov extended this construction to… read more here.
Keywords: nil restricted; finitely generated; lie algebras; restricted lie ... See more keywords