Journal of Lie Theory

no. 4
A Non-Abelian Tensor Product of Lie Crossed Modules
Journal of Lie Theory, Volume 31 (2021) no. 4, pp. 933-956
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.
DOI: 10.5802/jolt.1201
Classification: 17B05, 17B99, 18G50, 18G99
Keywords: Lie algebra, crossed module, tensor product, exterior product 
@article{JOLT_2021_31_4_a1,
     author = {A. Javan and H. Ravanbod and A. R. 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},
     doi = {10.5802/jolt.1201},
     zbl = {1489.17007},
     url = {https://jolt.centre-mersenne.org/articles/10.5802/jolt.1201/}
}
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%A H. Ravanbod
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A. Javan; H. Ravanbod; A. R. Salemkar. A Non-Abelian Tensor Product of Lie Crossed Modules. Journal of Lie Theory, Volume 31 (2021) no. 4, pp. 933-956. doi: 10.5802/jolt.1201

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