A universal formula for the volume of compact Lie groups
Group Theory
2013-04-11 v1 Mathematical Physics
math.MP
Abstract
We provide a closed formula for the volume of a simple compact Lie group in terms of the universal Vogel parameters. For the unitary groups SU_n this reduces to the integral representation of the classical Barnes G-function.
Keywords
Cite
@article{arxiv.1304.3031,
title = {A universal formula for the volume of compact Lie groups},
author = {R. L. Mkrtchyan and A. P. Veselov},
journal= {arXiv preprint arXiv:1304.3031},
year = {2013}
}
Comments
6 pages