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, ɛ), (R, K, ∂)) of congruence classes of extensions of (R, K, ∂) by (U, Q, ɛ) 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.
This is a preview of subscription content, log in via an institution to check access.
Similar content being viewed by others
Author information
Authors and Affiliations
Corresponding author
Additional information
Communicated by E. Zelmanov
2000 Mathematics Subject Classification: 17B56, 17B99, 18G99
Rights and permissions
About this article
Cite this article
Casas, J.M., Rodríguez, A.M.V. A Five-term Exact Sequence for Opext of Crossed Modules in Lie Algebras. Algebra Colloq. 7, 121–138 (2000). https://doi.org/10.1007/s10011-000-0121-2
Received:
Revised:
Issue Date:
DOI: https://doi.org/10.1007/s10011-000-0121-2