A Five-term Exact Sequence for Opext of Crossed Modules in Lie Algebras |
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Authors: | J. M. Casas A. M. Vieites Rodríguez |
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Affiliation: | (1) Departamento de Matématica Aplicada, Universidad de Vigo, 36005 Pontevedra, Spain |
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Abstract: | Extensions of crossed modules in Lie algebras with abelian kernel are studied, particularly backward and forward induced extensions and related properties. The set Opext((U, Q, ), (R, K, )) of congruence classes of extensions of (R, K, ) by (U, Q, ) is endowed with a K-vector space structure. This K-vector space appears in a five-term natural and exact sequence associated with an extension of crossed modules.2000 Mathematics Subject Classification: 17B56, 17B99, 18G99 |
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Keywords: | crossed module extension induced extension action derivation |
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