The notions of non-abelian tensor and exterior products of two ideal crossed submodules of a given crossed module of Lie algebras are introduced and some of their fundamental properties are established. Using the obtained results, we also give a new description of the second homology of Lie algebra crossed modules.
1
Faculty of Mathematical Sciences, Shahid Beheshti University, Tehran, Iran
Hajar Ravanbod; Ali Reza Salemkar. The Non-Abelian Tensor and Exterior Products of Crossed Modules of Lie Algebras. Journal of Lie Theory, Tome 28 (2018) no. 1, pp. 169-185. http://geodesic.mathdoc.fr/item/JOLT_2018_28_1_a8/
@article{JOLT_2018_28_1_a8,
author = {Hajar Ravanbod and Ali Reza Salemkar},
title = {The {Non-Abelian} {Tensor} and {Exterior} {Products} of {Crossed} {Modules} of {Lie} {Algebras}},
journal = {Journal of Lie Theory},
pages = {169--185},
year = {2018},
volume = {28},
number = {1},
url = {http://geodesic.mathdoc.fr/item/JOLT_2018_28_1_a8/}
}
TY - JOUR
AU - Hajar Ravanbod
AU - Ali Reza Salemkar
TI - The Non-Abelian Tensor and Exterior Products of Crossed Modules of Lie Algebras
JO - Journal of Lie Theory
PY - 2018
SP - 169
EP - 185
VL - 28
IS - 1
UR - http://geodesic.mathdoc.fr/item/JOLT_2018_28_1_a8/
ID - JOLT_2018_28_1_a8
ER -
%0 Journal Article
%A Hajar Ravanbod
%A Ali Reza Salemkar
%T The Non-Abelian Tensor and Exterior Products of Crossed Modules of Lie Algebras
%J Journal of Lie Theory
%D 2018
%P 169-185
%V 28
%N 1
%U http://geodesic.mathdoc.fr/item/JOLT_2018_28_1_a8/
%F JOLT_2018_28_1_a8
