Geodesic
A Non-Abelian Tensor Product of Lie Crossed Modules
Arash Javan1 ; Hajar Ravanbod1 ; Ali Reza Salemkar1
1Dept. of Mathematics, Faculty of Mathematical Sciences, Shahid Beheshti University, Tehran, Iran
Journal of Lie Theory, Tome 31 (2021) no. 4, pp. 933-956

Voir la notice de l'article provenant de la source Heldermann Verlag

The notions of non-abelian tensor and exterior products in the category of Lie crossed modules are introduced and investigated. Also, their relationships with the Whitehead's universal quadratic and the homology of Lie crossed modules are established.
Classification : 17B05, 17B99, 18G50, 18G99
Mots-clés : Lie algebra, crossed module, tensor product, exterior product

Arash Javan  1   ; Hajar Ravanbod  1   ; Ali Reza Salemkar  1

1 Dept. of Mathematics, Faculty of Mathematical Sciences, Shahid Beheshti University, Tehran, Iran 
Arash Javan; Hajar Ravanbod; Ali Reza Salemkar. A Non-Abelian Tensor Product of Lie Crossed Modules. Journal of Lie Theory, Tome 31 (2021) no. 4, pp. 933-956. http://geodesic.mathdoc.fr/item/JOLT_2021_31_4_a1/
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     author = {Arash Javan and Hajar Ravanbod and Ali Reza Salemkar},
     title = {A {Non-Abelian} {Tensor} {Product} of {Lie} {Crossed} {Modules}},
     journal = {Journal of Lie Theory},
     pages = {933--956},
     year = {2021},
     volume = {31},
     number = {4},
     url = {http://geodesic.mathdoc.fr/item/JOLT_2021_31_4_a1/}
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