Journal of Lie Theory

no. 1
The Non-Abelian Tensor and Exterior Products of Crossed Modules of Lie Algebras
Journal of Lie Theory, Volume 28 (2018) no. 1, pp. 169-185
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.
DOI: 10.5802/jolt.998
Classification: 18G05, 18G50, 20J99
Keywords: Lie algebra, crossed module, tensor product, exterior product 
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     author = {H. Ravanbod and A. R. 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},
     doi = {10.5802/jolt.998},
     zbl = {1391.18021},
     url = {https://jolt.centre-mersenne.org/articles/10.5802/jolt.998/}
}
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H. Ravanbod; A. R. Salemkar. The Non-Abelian Tensor and Exterior Products of Crossed Modules of Lie Algebras. Journal of Lie Theory, Volume 28 (2018) no. 1, pp. 169-185. doi: 10.5802/jolt.998

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