Next Article in Journal
Heteroclinic Solutions for Classical and Singular ϕ-Laplacian Non-Autonomous Differential Equations
Previous Article in Journal
Solution Estimates for the Discrete Lyapunov Equation in a Hilbert Space and Applications to Difference Equations
Open AccessArticle

3-Lie Superalgebras Induced by Lie Superalgebras

Institute of Mathematics and Statistics, University of Tartu, 50409 Tartu, Estonia
Axioms 2019, 8(1), 21;
Received: 21 November 2018 / Revised: 30 January 2019 / Accepted: 31 January 2019 / Published: 6 February 2019
We show that given a Lie superalgebra and an element of its dual space, one can construct the 3-Lie superalgebra. We apply this approach to Lie superalgebra of ( m , n ) -block matrices taking a supertrace of a matrix as the element of dual space. Then we also apply this approach to commutative superalgebra and the Lie superalgebra of its derivations to construct 3-Lie superalgebra. The graded Lie brackets are constructed by means of a derivation and involution of commutative superalgebra, and we use them to construct 3-Lie superalgebras. View Full-Text
Keywords: Lie superalgebra; supertrace; commutative superalgebra; 3-Lie superalgebra Lie superalgebra; supertrace; commutative superalgebra; 3-Lie superalgebra
MDPI and ACS Style

Abramov, V. 3-Lie Superalgebras Induced by Lie Superalgebras. Axioms 2019, 8, 21.

Show more citation formats Show less citations formats
Note that from the first issue of 2016, MDPI journals use article numbers instead of page numbers. See further details here.

Article Access Map by Country/Region

Back to TopTop