Claims at the end:

Corollary 3.14. The representation category Rep(D(G)) of the quantum double D(G) of a finite group G is a modular tensor category

2.

http://arxiv.org/abs/1003.5611

Lie theory of finite simple groups and the Roth property, Majid&K – study adjoint representation of finite

http://arxiv.org/pdf/1209.1768.pdf

Zalesski&K study of adjoint representation and claim that for almost all simple finite groups it contains all.

3

http://epub.sub.uni-hamburg.de/epub/volltexte/2013/20268/pdf/454.1212.6916v2.pdf

J. Fuchs&K Description of double of finite group in section 2.

http://www.sciencedirect.com/science/article/pii/S0021869396900149

The Representation Ring of the Quantum Double of a Finite Group

S.J. Witherspoon

In particular cites some Maschke theorem for Hopf algebras

http://www.math.tamu.edu/~sjw/pub/SJWthesis.pdf

S.J. Witherspoon PhD thesis 1994 on reps of quantum double

http://www.mat.ub.edu/EMIS/journals/SIGMA/2013/039/sigma13-039.pdf

Drinfeld Doubles for Finite Subgroups

of SU(2) and SU(3) Lie Groups

Robert COQUEREAUX yz and Jean-Bernard ZUBER

4

http://mathoverflow.net/questions/8415/combinatorial-techniques-for-counting-conjugacy-classes

5

Uncertainty , non-abelian FT

http://en.wikipedia.org/wiki/Fourier_transform_on_finite_groups

http://arxiv.org/pdf/math/0608702.pdf

Uncertainty Principles for Compact Groups

Gorjan Alagic, Alexander Russell

Readings in Fourier Analysis on Finite

Non-Abelian Groups http://ticsp.cs.tut.fi/images/5/57/Report-5.pdf

http://statweb.stanford.edu/~ckirby/techreports/NSF/EFS%20NSF%20360.pdf

Diaconis, P. (1991). “Finite Fourier Methods: Access to Tools.” PERSI DIACONIS

### the donoho – stark uncertainty principle for a finite abelian group

# A simple proof of the Uncertainty Principle for compact groups

http://www.sciencedirect.com/science/article/pii/S0723086905000228

http://terrytao.files.wordpress.com/2008/12/uup.pdf

The uniform uncertainty

principle and compressed

sensing

Some things we’ve learned

(about Markov chain Monte Carlo)

PERSI DIACONIS

390 Serra Mall, Stanford, CA 94305-4065, USA. E-mail: diaconis@math.stanford.edu

This paper oﬀers a personal review of some things we’ve learned about rates of convergence of

Markov chains to their stationary distributions. The main topic is ways of speeding up diﬀusive

behavior. It also points to open problems and how much more there is to do.

http://arxiv.org/pdf/1309.7754.pdf

Abelian FT, Hausdorf-Young inequality

http://www.ms.uky.edu/~pkoester/research/finiteabeliananalysis.pdf

I would be happy to hear any comments on the paper. Everybody is welcome to leave comments !

I would be happy to hear any comments on the paper. Everybody is welcome to leave comments on the paper.

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