Extensions of (super) Lie algebras
classification
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algebraalgebrasdeformationsextensionsgiveinfinitesimalinterpretationproblem
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In this paper, we give a purely cohomological interpretation of the extension problem for (super) Lie algebras; that is the problem of extending a Lie algebra by another Lie algebra. We then give a similar interpretation of infinitesimal deformations of extensions. In particular, we consider infinitesimal deformations of representations of a Lie algebra.
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