Universal central extension and the second invariant of homology of crossed modules in lie algebras |
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Authors: | JM Casas |
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Institution: | Departamento de Matemática Aplicada , Universidad de Vigo , Pontevedra, Spain |
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Abstract: | In this paper we show that the kernel of the universal central extension of a crossed module in Lie algebras is the second invariant of this crossed module. As a consequence of this result we obtain a recognition criterion for universal central extensions and a vanishing situation of two invariants associated to a crossed module in Lie algebras. |
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Keywords: | Primary 32S15 Secondary 14B05 13H15 |
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