[Blueboard] MS Math Thesis Defense

Corazon K. Alvarado calvarado at ateneo.edu
Thu Nov 27 09:37:13 PHT 2014

The Department of Mathematics

School of Science and Engineering

invites you to the MS Mathematics Thesis Defense of

*Mr. Chrizaldy Neil C. Manibo*

*Title:*  Geometric Structures Arising from Representations of Finite

             Quantization of L*2*(G)


1. Dr. Reginaldo M. Marcelo

2.  Dr. Eden Delight P. Miro

3.  Dr. Eric A. Galapon

*Adviser:*   Dr. Job A. Nable

*Date:*  December 16, 2014

*Time:*  1:30 – 3:00 pm

*Venue*:  Science Education Complex Bldg A (SEC-A)

                Room 303

*Thesis Abstract:*

A deformation quantization of the function space of a finite group given by
a star product  is considered and its correspondence with the Fourier
transform and the convolution product is shown. A differential geometric
approach is used to associate *tensorial* forms to algebraic structures
which arise from the linear representations of the group G.. In particular,
a *Poisson* bracket is derived and a valid moment map for an action under
the derived bracket is constructed. Explicit forms and specific results for
several examples, and *nontrivial* *Hopf* algebra structures were also
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