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
Affine Lie superalgebras
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DOI: 10.1016/j.jalgebra.2020.10.039
Abstract: Abstract In 1986, Van de Leur introduced and classified affine Lie superalgebras. An affine Lie superalgebra is defined as the quotient of certain Lie superalgebra G defined by generators and relations, corresponding to a symmetrizable… read more here.
Keywords: lie super; lie superalgebras; affine lie; lie ... See more keywords
Lie super-bialgebra structures on the N = 2 super-BMS3 algebra
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DOI: 10.1142/s1793557121501035
Abstract: In this paper, Lie super-bialgebra structures on the [Formula: see text] super-BMS3 algebra are investigated. By computing derivations from the super-BMS3 to the tensor product of its adjoint module, we obtain that all Lie bialgebra… read more here.
Keywords: super bms3; lie super; bms3 algebra; bialgebra structures ... See more keywords