منابع مشابه
Leigh Stewart
When I tell people that I am a mathematics major and a studio art minor, overwhelmingly the response I get is one of surprise that I have chosen such a strange combination of disciplines. “They’re so different from each other!” people exclaim. Mathematics is often considered a “left-brained” discipline, logical and linear in its structure, and art a “rightbrained” activity, stirring one’s intui...
متن کاملRacks, Leibniz algebras and Yetter–Drinfel’d modules
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.
متن کاملYetter-drinfeld Modules over Weak Bialgebras
We discuss properties of Yetter-Drinfeld modules over weak bialgebras over commutative rings. The categories of left-left, left-right, right-left and right-right Yetter-Drinfeld modules over a weak Hopf algebra are isomorphic as braided monoidal categories. Yetter-Drinfeld modules can be viewed as weak Doi-Hopf modules, and, a fortiori, as weak entwined modules. If H is finitely generated and p...
متن کاملYetter-drinfeld Modules under Cocycle Twists
We give an explicit formula for the correspondence between simple Yetter-Drinfeld modules for certain finite-dimensional pointed Hopf algebras H and those for cocycle twists H of H. This implies an equivalence between modules for their Drinfeld doubles. To illustrate our results, we consider the restricted two-parameter quantum groups ur,s(sln) under conditions on the parameters guaranteeing th...
متن کاملYetter-drinfeld Modules for Turaev Crossed Structures
We provide an analog of the Joyal-Street center construction and of the Kassel-Turaev categorical quantum double in the context of the crossed categories introduced by Turaev. Then, we focus or attention to the case of categories of representation. In particular, we introduce the notion of a YetterDrinfeld module over a crossed group coalgebra H and we prove that both the category of Yetter-Dri...
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ژورنال
عنوان ژورنال: AmeriQuests
سال: 2012
ISSN: 1553-4316
DOI: 10.15695/amqst.v9i1-2.3657