Weak Hopf algebras corresponding to Uq[sln]
Abstract
We investigate the weak Hopf algebras of Li based on Uq[sln] and Sweedler's finite dimensional example. We give weak Hopf algebra isomorphisms between the weak generalisations of Uq[sln] which are ``upgraded'' automorphisms of Uq[sln] and hence give a classification of these structures as weak Hopf algebras. We also show how to decompose these examples into a direct sum which leads to unexpected isomorphisms between their algebraic structure.
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