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Lie Groups are Groups that are additionally smooth manifolds such that the multiplication and the inverse maps are smooth.
5
votes
Lie group about the quantum harmonic oscillator
The oscillator group, of course. See Streater, The representations of the oscillator group, Communications in Mathematical Physics
1967, Volume 4, Issue 3, pp 217-236, for a description of its represe …
6
votes
Reference requested: Random walk on groups
How about these two books for a start?
Tullio Ceccherini-Silberstein, Fabio Scarabotti, and Filippo Tolli. Harmonic analysis on finite groups. Representation theory, Gelfand pairs and Markov chains. …
3
votes
Accepted
Reference to definition of matrix log with domain SO(3) which is Borel measurable
Have a look at the paper COMPUTING EXPONENTIALS OF SKEW-SYMMETRIC MATRICES AND
LOGARITHMS OF ORTHOGONAL MATRICES by J. Gallier and D. Xu (International Journal of Robotics and Automation, Vol. 17, No. …