Extra-special Leibniz superalgebras
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Gelareh Eghbali Kalhor
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Ali Reza Salemkar
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.
Acknowledgements
The authors are greatly indebted to the referee, whose valuable criticisms and suggestions led us to rearrange the paper.
References
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© 2023 Walter de Gruyter GmbH, Berlin/Boston
Artikel in diesem Heft
- Frontmatter
- On the arithmetic of polynomial semidomains
- Extra-special Leibniz superalgebras
- Restricted iso-minimum condition
- On the spectral large sieve inequality for symmetric-squares
- Simple 𝔰𝔩(V)-modules which are free over an abelian subalgebra
- Epsilon-strongly graded rings: Azumaya algebras and partial crossed products
- Non-weight modules over N = 1 Lie superalgebras of Block type
- Simpler foundations for the hyperbolic plane
- Characterizations of the mixed radial-angular central Campanato space via the commutators of Hardy type
- The fourth moment of Dirichlet L-functions along the critical line
- Diagonal restriction of Eisenstein series and Kudla–Millson theta lift
- Gibbons’ conjecture for quasilinear elliptic equations involving a gradient term
- Jantzen filtration of Weyl modules for general linear supergroups
- Integral formulas for a class of curvature PDE’s and applications to isoperimetric inequalities and to symmetry problems
Artikel in diesem Heft
- Frontmatter
- On the arithmetic of polynomial semidomains
- Extra-special Leibniz superalgebras
- Restricted iso-minimum condition
- On the spectral large sieve inequality for symmetric-squares
- Simple 𝔰𝔩(V)-modules which are free over an abelian subalgebra
- Epsilon-strongly graded rings: Azumaya algebras and partial crossed products
- Non-weight modules over N = 1 Lie superalgebras of Block type
- Simpler foundations for the hyperbolic plane
- Characterizations of the mixed radial-angular central Campanato space via the commutators of Hardy type
- The fourth moment of Dirichlet L-functions along the critical line
- Diagonal restriction of Eisenstein series and Kudla–Millson theta lift
- Gibbons’ conjecture for quasilinear elliptic equations involving a gradient term
- Jantzen filtration of Weyl modules for general linear supergroups
- Integral formulas for a class of curvature PDE’s and applications to isoperimetric inequalities and to symmetry problems
