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Autoequivalences of the tensor category of Uq(g)-modules
Autoequivalences tensor category of Uq(g)-modules
2011/2/24
We prove that for q 2 C not a nontrivial root of unity the cohomology group defined by invariant 2-cocycles in a completion of Uqg is isomorphic to H2(P/Q; T), where P and Q are the weight and root l...
Weak Tensor Category and Related generalized Hopf algebras
Weak tensor category Weak Hopf algebra Pre-Hopf algebra Strictization
2007/12/12
There are at least two kinds of generalization of Hopf algebra, i.e. pre-Hopf algebra and weak Hopf algebra. Correspondingly, we have two kinds of generalized bialgebras, almost bialgebra and weak bia...