Detecting capable pairs of some nilpotent Lie superalgebras
In this article, we define the capable pairs of Lie superalgebras. We classify all capable pairs
of abelian and Heisenberg Lie superalgebras. After that we discuss on pairs of Lie …
of abelian and Heisenberg Lie superalgebras. After that we discuss on pairs of Lie …
On the dimension of non-abelian tensor square of Lie superalgebras
In this paper, we determine upper bound for the non-abelian tensor product of finite
dimensional Lie superalgebra. More precisely, if $ L $ is a non-abelian nilpotent Lie …
dimensional Lie superalgebra. More precisely, if $ L $ is a non-abelian nilpotent Lie …
On the Schur Lie-multiplier and Lie-covers of Leibniz n-algebras
H Safa, GR Biyogmam - Communications in Algebra, 2023 - Taylor & Francis
In this article, we study the notion of central extensions of Leibniz n-algebras relative to n-Lie
algebras to study properties of Schur Lie-multiplier and Lie-covers on Leibniz n-algebras …
algebras to study properties of Schur Lie-multiplier and Lie-covers on Leibniz n-algebras …
Isoclinic relative central extensions of a pair of regular Hom-Lie algebras
RN Padhan, TK Khuntia - arXiv preprint arXiv:2209.07822, 2022 - arxiv.org
In this paper, we show the relation among the relative central extensions in an isoclinism
family of a particular relative central extension of Hom-Lie algebras. We define the notion of …
family of a particular relative central extension of Hom-Lie algebras. We define the notion of …
Finite-dimensional nilpotent Lie superalgebras of class two and skew-supersymmetric bilinear maps
In this article, we discuss the category $\mathcal {SN} _2 $ where the objects are finite-
dimensional nilpotent Lie superalgebras of class two and the category $\mathcal {SSKE} …
dimensional nilpotent Lie superalgebras of class two and the category $\mathcal {SSKE} …
On the triple tensor product of generalized Heisenberg Lie superalgebra of rank
In this article, we compute the Schur multiplier of all generalized Heisenberg Lie
superalgebras of rank $2 $. We discuss the structure of $\otimes^ 3H $ and $\wedge^ 3H …
superalgebras of rank $2 $. We discuss the structure of $\otimes^ 3H $ and $\wedge^ 3H …
The Schur multiplier of an n-Lie superalgebra
H Safa - Communications in Algebra, 2022 - Taylor & Francis
In the present paper, we study the notion of the Schur multiplier M (L) of an n-Lie
superalgebra L= L 0⊕ L 1 and prove that dim M (L)≤∑ i= 0 n (mi) L (n− i, k), where dim L …
superalgebra L= L 0⊕ L 1 and prove that dim M (L)≤∑ i= 0 n (mi) L (n− i, k), where dim L …
On the dimension of the Schur multiplier of nilpotent Lie superalgebras
arXiv:2305.00755v1 [math.RA] 1 May 2023 Page 1 arXiv:2305.00755v1 [math.RA] 1 May 2023
ON THE DIMENSION OF THE SCHUR MULTIPLIER OF NILPOTENT LIE SUPERALGEBRAS …
ON THE DIMENSION OF THE SCHUR MULTIPLIER OF NILPOTENT LIE SUPERALGEBRAS …