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Homological aspects of Lie algebra crossed modules |
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| Authors: | José Manuel Casas Nick Inassaridze Manuel Ladra |
| Affiliation: | 1. Departamento de Matemática Aplicada I, Universidad de Vigo, EUIT Forestal, 36005, Pontevedra, Spain 2. A. Razmadze Mathematical Institute, M. Alexidze St. 1, 0193, Tbilisi, Georgia 3. Tbilisi Centre for Mathematical Sciences, Tbilisi, Georgia 4. Departamento de álgebra, Universidad de Santiago de Compostela, 15782, Santiago de Compostela, Spain |
| Abstract: | Internal homology theory in the category of crossed modules of Lie algebras is constructed and investigated. Its relationship with the Chevalley-Eilenberg homology is established in terms of a long exact homology sequence. |
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