Article
Leibniz Algebras Constructed by Representations of General Diamond Lie Algebras
Author/s | Camacho Santana, Luisa María
Karimjanov, Iqboljon A. Ladra, M. Omirov, Bakhrom Abdazovich |
Department | Universidad de Sevilla. Departamento de Matemática Aplicada I (ETSII) |
Publication Date | 2019 |
Deposit Date | 2019-10-30 |
Published in |
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Abstract | In this paper we construct a minimal faithful representation of the (2m + 2)-
dimensional complex general Diamond Lie algebra, Dm(C), which is isomorphic to a subalgebra
of the special linear Lie algebra sl(m + 2, C). ... In this paper we construct a minimal faithful representation of the (2m + 2)- dimensional complex general Diamond Lie algebra, Dm(C), which is isomorphic to a subalgebra of the special linear Lie algebra sl(m + 2, C). We also construct a faithful representation of the general Diamond Lie algebra Dm which is isomorphic to a subalgebra of the special symplectic Lie algebra sp(2m + 2,R). Furthermore, we describe Leibniz algebras with corresponding (2m + 2)-dimensional general Diamond Lie algebra Dm and ideal generated by the squares of elements giving rise to a faithful representation of Dm. |
Project ID. | MTM2013-43687-P
GRC2013-045 |
Citation | Camacho Santana, L.M., Karimjanov, I.A., Ladra, M. y Omirov, B.A. (2019). Leibniz Algebras Constructed by Representations of General Diamond Lie Algebras. Bulletin of the Malaysian Mathematical Sciences Society, 42 (3), 1281-1293. |
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