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Weak Hopf algebras corresponding to $U_q[sl_n]$

N. Aizawa·P. S. Isaac
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Abstract

We investigate the weak Hopf algebras of Li based on $U_q[sl_n]$ and Sweedler's finite dimensional example. We give weak Hopf algebra isomorphisms between the weak generalisations of $U_q[sl_n]$ which are ``upgraded'' automorphisms of $U_q[sl_n]$ 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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BibTeXRIS

N. Aizawa, P. S. Isaac. 2003-07-31. Weak Hopf algebras corresponding to $U_q[sl_n]$. https://doi.org/10.1063/1.1616999

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