Abstract
We describe the twisting construction with the help of 2-cocycles on Hopf–von Neumann and George Kac algebras; we show that twisted Kac algebras are again Kac algebras. Using this construction, we give a wide class of new quantizations of the Heisenberg group and describe several series of non-trivial finite- dimensional \(\)-Hopf algebras (Kac algebras) of dimensions 4n and \(\) as twisting of finite groups.
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