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A Class of Weak Hopf Algebras

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  • Dongming Cheng

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 ‘› .

Suggested Citation

  • Dongming Cheng, 2010. "A Class of Weak Hopf Algebras," International Journal of Mathematics and Mathematical Sciences, Hindawi, vol. 2010, pages 1-8, March.
    • Handle: RePEc:hin:jijmms:520762
    DOI: 10.1155/2010/520762
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