Cocycles on a finite dimensional quotient of uq (sl(2)) |
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Authors: | Ioana Boca |
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Affiliation: | Department of Mathematics 1 , Politehnica University of Bucharest Splaiul Independentei 313 , Bucharest, 79590, Romania E-mail: boca@mathem.pub.ro |
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Abstract: | We prove that certain algebra quotients of Hopf algebras are twisted Hopf algebras. On the other handuq (sl(2)) is a crossed product of a central subalgebra with a quotient [Ubar], when q is a root of 1. Using the cocycle involved in this crossed product we construct non-trivial complex cocycles τ and we find the isomorphism classes of the corresponding twisted Hopf algebras τ [Ubar]. These provide complex projective representations of [Ubar] which are not ordinary representations. |
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