Article
On Leibniz Superalgebras with Even Part Corresponding to sl2
Author/s | Camacho Santana, Luisa María
![]() ![]() ![]() ![]() ![]() ![]() ![]() Navarro, R. M. |
Department | Universidad de Sevilla. Departamento de Matemática Aplicada I (ETSII) |
Publication Date | 2021 |
Deposit Date | 2021-07-02 |
Published in |
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Abstract | In this paper we describe finite-dimensional complex Leibniz superalgebras whose even part
is the simple Leibniz algebra corresponding to sl2, i.e. its quotient algebra with respect to
the Leibniz kernel I is isomorphic ... In this paper we describe finite-dimensional complex Leibniz superalgebras whose even part is the simple Leibniz algebra corresponding to sl2, i.e. its quotient algebra with respect to the Leibniz kernel I is isomorphic to sl2.We classify these Leibniz superalgebras in several cases with arbitrary dimensions in which the odd part is essentially a Leibniz irreducible (sl2 + I)-module or a finite direct sum of them. |
Funding agencies | Agencia Estatal de Investigación. España |
Project ID. | MTM2016-79661-P
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Citation | Camacho Santana, L.M. y Navarro, R.M. (2021). On Leibniz Superalgebras with Even Part Corresponding to sl2. Algebras and Representation Theory, 24 (3), 783-798. |
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