A Natural Extension of the Universal Enveloping Algebra Functor to Crossed Modules of Leibniz Algebras
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DOI: 10.1007/s10485-016-9472-9
Abstract: The universal enveloping algebra functor between Leibniz and associative algebras defined by Loday and Pirashvili is extended to crossed modules. We prove that the universal enveloping crossed module of algebras of a crossed module of… read more here.
Keywords: enveloping algebra; crossed module; universal enveloping; crossed modules ... See more keywords
Multiplicative Lie crossed module of multiplicative Lie algebras
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DOI: 10.1080/00927872.2025.2534878
Abstract: Abstract We introduce the concept of crossed modules in multiplicative Lie algebras, termed multiplicative Lie crossed modules. We construct a pair of adjoint functors between the category of multiplicative Lie crossed modules and the category… read more here.
Keywords: multiplicative lie; crossed modules; crossed module; lie ... See more keywords