Possible Connections between Whiskered Categories and Groupoids, Leibniz Algebras, Automorphism Structures and Local-to-global Questions
نویسنده
چکیده
We define the notion of whiskered categories and groupoids, showing that whiskered groupoids have a commutator theory. So also do whiskered R-categories, thus answering questions of what might be ‘commutative versions’ of these theories. We relate these ideas to the theory of Leibniz algebras, but the commutator theory here does not satisfy the Leibniz identity. We also discuss potential applications and extensions, for example to resolutions of monoids.
منابع مشابه
Possible Connections between Whiskered Categories and Groupoids, Many Object Lie Algebras, Automorphism Structures and Local-to-global Questions
We define the notion of whiskered categories and groupoids and discuss potential applications and extensions, for example to a many object Lie theory, and to resolutions of monoids. This paper is more an outline of a possible programme or programmes than giving conclusive results.
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