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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Issue

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

Towards enhanced physics research and education
17-20 October 2014, University of Philippines Diliman, Quezon City

Article ID

SPP2014-3B-01

Section

Invited Presentations

Published

2014-10-17

How to Cite

[1]

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