H. L. Huru

Associativity constraints, braidings and quantizations of modules with grading and action

(Lobachevskii Journal of Mathematics, Vol.23, pp.5-27 )

We study quantizations, associativity constraints and braidings in the monoidal category of monoid graded modules over a commutative ring. All of them can be described in terms of the cohomology of the underlying (finite) monoid. The Fourier transform of finite groups gives a corresponding description in the monoidal category of modules with action by a group.



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