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

Authors

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

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.