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 Ʉ, 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 Ʉ. These provide complex projective representations of Ʉ which are not ordinary representations.
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