Poisson and Hopf structures for finite groups via star product and convolution
Abstract
A geometric approach is employed to introduce a nontrivial Poisson bracket for the function space L2 (G) of a nite group G. This allows a tensor formulation of a known family of noncommutative star products ⋆λ0 and the usual convolution product ∗c. Hopf structures for the same space are derived from matricial elements of irreducible representations.
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Towards enhanced physics research and education
17-20 October 2014, University of Philippines Diliman, Quezon City