The center construction for weak Hopf algebras
نویسندگان
چکیده
منابع مشابه
Yetter-drinfeld Modules over Weak Hopf Algebras and the Center Construction
We introduce Yetter-Drinfeld modules over a weak Hopf algebra H, and show that the category of Yetter-Drinfeld modules is isomorphic to the center of the category of H-modules. The categories of left-left, left-right, right-left and right-right Yetter-Drinfeld modules are isomorphic as braided monoidal categories. Yetter-Drinfeld modules can be viewed as weak DoiHopf modules, and, a fortiori, a...
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The theory of Doi-Hopf modules [7, 10] is generalized to Weak Hopf Algebras [1, 12, 2].
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Copyright q 2010 Dongming Cheng. This is an open access article distributed under the Creative Commons Attribution License, which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited. We introduce a class of noncommutative and noncocommutative weak Hopf algebras with infinite Ext quivers and study their structure. We decompose them...
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We give a detailed comparison between the notion of a weak Hopf algebra (also called a quantum groupoid by Nikshych and Văınerman), and that of a ×R-bialgebra due to Takeuchi (and also called a bialgebroid or quantum (semi)groupoid by Lu and Xu). A weak bialgebra is the same thing as a ×R-bialgebra in which R is Frobenius-separable. We extend the comparison to cover module and comodule theory, ...
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ژورنال
عنوان ژورنال: Tsukuba Journal of Mathematics
سال: 2002
ISSN: 0387-4982
DOI: 10.21099/tkbjm/1496164389