An Erdos-Turan Inequality For Compact Simply-Connected Semisimple Lie Groups
Representation Theory
2013-05-14 v1
Abstract
The classical Erd{\" o}s-Turan Inequality bounds how far a sequence of points in the circle is from being equidistributed in terms of its exponential moments. We prove an analogous inequality for all compact simply-connected semisimple Lie groups, bounding how far a sequence is from being equidistributed in the conjugacy classes of the group in terms of the moments of irreducible characters.
Keywords
Cite
@article{arxiv.1305.2458,
title = {An Erdos-Turan Inequality For Compact Simply-Connected Semisimple Lie Groups},
author = {Zev Rosengarten},
journal= {arXiv preprint arXiv:1305.2458},
year = {2013}
}
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21 pages