Poisson and Hopf structures for finite groups via star product and convolution

Authors

  • Chrizaldy Neil C. Mañibo ⋅ PH School of Science and Engineering, Ateneo de Manila University
  • Job A. Nable ⋅ PH School of Science and Engineering, Ateneo de Manila University

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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Published

2014-10-17

Issue

2014: Proceedings of the 32nd Samahang Pisika ng Pilipinas Physics Congress

Section

Invited Presentations

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How to Cite

[1]
Poisson and Hopf structures for finite groups via star product and convolution, Proceedings of the Samahang Pisika ng Pilipinas 32, (2014). URL: https://proceedings.spp-online.org/article/view/1771.