Racks, Leibniz algebras and Yetter–Drinfel’d modules
نویسنده
چکیده
A Hopf algebra object in Loday and Pirashvili’s category of linear maps entails an ordinary Hopf algebra and a Yetter–Drinfel’d module. We equip the latter with a structure of a braided Leibniz algebra. This provides a uni ed framework for examples of racks in the category of coalgebras discussed recently by Carter, Crans, Elhamdadi and Saito.
منابع مشابه
Deformation cohomology for Yetter-Drinfel’d modules and Hopf (bi)modules
If A is a bialgebra over a field k, a left-right Yetter-Drinfel’d module over A is a k-linear space M which is a left A-module, a right A-comodule and such that a certain compatibility condition between these two structures holds. YetterDrinfel’d modules were introduced by D. Yetter in [18] under the name of “crossed bimodules” (they are called “quantum Yang-Baxter modules” in [5]; the present ...
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