Weak Hopf algebras corresponding to Uq[sln]

Weak Hopf algebras corresponding to Uq[sln]
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DOI:
10.1063/1.1616999
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发表时间:
2003-07
影响因子:
1.3
通讯作者:
N. Aizawa;P. Isaac
N. Aizawa;P. Isaac
中科院分区:
物理与天体物理3区
文献类型:
--
作者:
N. Aizawa;P. Isaac

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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 generalizations 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.