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Draft notes

January 2, 2014
  1. http://wwwmath.uni-muenster.de/reine/u/upenn_01/slides/QuantumDouble.pdf

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://terrytao.wordpress.com/2011/01/23/the-peter-weyl-theorem-and-non-abelian-fourier-analysis-on-compact-groups/

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

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

http://webcache.googleusercontent.com/search?q=cache:http://www.ims.nus.edu.sg/Programs/liegroups/files/dsup.pdf

the donoho – stark uncertainty principle for a finite abelian group

автор: E Matusiak – ‎Цитируется: 13 – ‎Похожие статьи

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

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