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Title of Journal: Acta Math SinEnglish Ser

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Abbravation: Acta Mathematica Sinica, English Series

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Institute of Mathematics, Chinese Academy of Sciences and Chinese Mathematical Society

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1439-7617

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Selfdual weak Hopf algebras

Authors: Munir Ahmed Fang Li
Publish Date: 2008/11/05
Volume: 24, Issue: 12, Pages: 1935-1948
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Abstract

In this paper we define the notion of selfdual graded weak Hopf algebra and selfdual semilattice graded weak Hopf algebra We give characterization of finitedimensional such algebras when they are in structually simple forms in the sense of E L Green and E N Morcos We also give the definition of selfdual weak Hopf quiver and apply these types of quivers to classify the finitedimensional selfdual semilattice graded weak Hopf algebras Finally we prove partially the conjecture given by N Andruskiewitsch and HJ Schneider in the case of finitedimensional pointed semilattice graded weak Hopf algebra H when grH is selfdual

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