منابع مشابه
The category of generalized crossed modules
In the definition of a crossed module $(T,G,rho)$, the actions of the group $T$ and $G$ on themselves are given by conjugation. In this paper, we consider these actions to be arbitrary and thus generalize the concept of ordinary crossed module. Therefore, we get the category ${bf GCM}$, of all generalized crossed modules and generalized crossed module morphisms between them, and investigate som...
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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.
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For n ≥ 4, we describe Artin’s braid group on n strings as a crossed module over itself. In particular, we interpret the braid relations as crossed module structure relations. Subject classification: Primary: 20F36 57M05 57M20 57M25; Secondary: 18D50 18G55 20C08 55P48
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ژورنال
عنوان ژورنال: Homology, Homotopy and Applications
سال: 2014
ISSN: 1532-0073,1532-0081
DOI: 10.4310/hha.2014.v16.n2.a5