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]
CNC Mañibo and JA Nable, Poisson and Hopf structures for finite groups via star product and convolution, in Proceedings of the 32nd Samahang Pisika ng Pilipinas Physics Congress (Philippines, 2014), SPP2014-3B-01. URL: https://proceedings.spp-online.org/article/view/1771
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