1Dept. of Mathematics, Georgia College & State University, Milledgeville, U.S.A. 2Dept. of Mathematics, Faculty of Basic Sciences, University of Bojnord, Iran
Journal of Lie Theory, Tome 31 (2021) no. 2, pp. 301-312
We utilize the notion of relative central extension on pairs of Leibniz algebras to study their Schur multipliers and covers. We provide some necessary conditions for detecting a certain class of covers of a pair of Leibniz algebras. In addition, we prove that every perfect pair of Leibniz algebras admits at least one cover. Moreover, we show that under certain conditions this cover is unique up to isomorphism. Finally, we prove that any two covers of a finite dimensional Leibniz algebra induce isoclinic pairs of Leibniz algebras.
1
Dept. of Mathematics, Georgia College & State University, Milledgeville, U.S.A.
2
Dept. of Mathematics, Faculty of Basic Sciences, University of Bojnord, Iran
Guy R. Biyogmam; Hesam Safa. On the Schur Multiplier and Covers of a Pair of Leibniz Algebras. Journal of Lie Theory, Tome 31 (2021) no. 2, pp. 301-312. http://geodesic.mathdoc.fr/item/JOLT_2021_31_2_a0/
@article{JOLT_2021_31_2_a0,
author = {Guy R. Biyogmam and Hesam Safa},
title = {On the {Schur} {Multiplier} and {Covers} of a {Pair} of {Leibniz} {Algebras}},
journal = {Journal of Lie Theory},
pages = {301--312},
year = {2021},
volume = {31},
number = {2},
url = {http://geodesic.mathdoc.fr/item/JOLT_2021_31_2_a0/}
}
TY - JOUR
AU - Guy R. Biyogmam
AU - Hesam Safa
TI - On the Schur Multiplier and Covers of a Pair of Leibniz Algebras
JO - Journal of Lie Theory
PY - 2021
SP - 301
EP - 312
VL - 31
IS - 2
UR - http://geodesic.mathdoc.fr/item/JOLT_2021_31_2_a0/
ID - JOLT_2021_31_2_a0
ER -
%0 Journal Article
%A Guy R. Biyogmam
%A Hesam Safa
%T On the Schur Multiplier and Covers of a Pair of Leibniz Algebras
%J Journal of Lie Theory
%D 2021
%P 301-312
%V 31
%N 2
%U http://geodesic.mathdoc.fr/item/JOLT_2021_31_2_a0/
%F JOLT_2021_31_2_a0
