Knit products of graded Lie algebras and groups
Abstract
If a graded Lie algebra is the direct sum of two graded sub Lie algebras, its bracket can be written in a form that mimics a "double sided semidirect product". It is called the knit product of the two subalgebras then. The integrated version of this is called a knit product of groups --- it coincides with the Zappa-Sz\'ep product. The behavior of homomorphisms with respect to knit products is investigated.
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