A Class of Weak Hopf Algebras

Dongming Cheng

International Journal of Mathematics and Mathematical Sciences, 2010, vol. 2010, 1-8

Abstract:

We introduce a class of noncommutative and noncocommutative weak Hopf algebras with infinite Ext quivers and study their structure. We decompose them into a direct sum of two algebras. The coalgebra structures of these weak Hopf algebras are described by their Ext quiver. The weak Hopf extension of Hopf algebra ð » ð ‘› has a quotient Hopf algebra and a sub-Hopf algebra which are isomorphic to ð » ð ‘› .

Date: 2010
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Persistent link: https://EconPapers.repec.org/RePEc:hin:jijmms:520762

DOI: 10.1155/2010/520762

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