Extra-special Leibniz superalgebras

Author:

Eghbali Kalhor Gelareh1,Edalatzadeh Behrouz1,Salemkar Ali Reza2

Affiliation:

1. Department of Mathematics , Faculty of Sciences , Razi University , Kermanshah , Iran

2. Department of Mathematics , Faculty of Mathematical Sciences , Shahid Beheshti University , Tehran , Iran

Abstract

Abstract A two-step nilpotent Leibniz superalgebra L is called extra-special if the center and the derived subalgebra of L are equal and both are of dimension one. In this paper, the structure, the capability and the second homology of extra-special Leibniz superalgebras are determined.

Publisher

Walter de Gruyter GmbH

Subject

Applied Mathematics,General Mathematics

Reference20 articles.

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2. W. Bai and W. Liu, Cohomology of Heisenberg Lie superalgebras, J. Math. Phys. 58 (2017), no. 2, Article ID 021701.

3. A. Bloh, On a generalization of the concept of Lie algebra, Dokl. Akad. Nauk SSSR 165 (1965), 471–473.

4. A. Bloh, Cartan–Eilenberg homology theory for a generalized class of Lie algebras, Dokl. Akad. Nauk SSSR 175 (1967), 824–826.

5. A. Bloh, A certain generalization of the concept of Lie algebra, Moskov. Gos. Ped. Inst. Učen. Zap. 375 (1971), 9–20.

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