Document Zbl 1256.81067

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Quantizations of group actions. (English) Zbl 1256.81067

J. Gen. Lie Theory Appl. 6, Article ID G120403, 15 p. (2012).

Summary: We describe quantizations on monoidal categories of modules over finite groups. Those are given by quantizers which are elements of a group algebra. Over the complex numbers we find these explicitly. For modules over \(S_{3}\) and \(A_{4}\) we give explicit forms for all quantizations.

Cited in 3 Documents

MSC:

81R60	Noncommutative geometry in quantum theory
20C05	Group rings of finite groups and their modules (group-theoretic aspects)
20C40	Computational methods (representations of groups) (MSC2010)
16S80	Deformations of associative rings

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