Products of conjugacy classes in SU(2)
Group Theory
2007-05-23 v1 Symplectic Geometry
Abstract
We obtain a complete description of collections of n conjugacy classes in SU(2) with the property that the multiplication map from the product of these n conjugacy classes to SU(2) is surjective. The basic instrument is a characterization of collections of n+1 conjugacy classes in SU(2) such that the image of the multiplication map from these conjugacy classes to SU(2) contains the identity matrix, which generalizes a result of Jeffrey and Weitsman.
Keywords
Cite
@article{arxiv.math/0211424,
title = {Products of conjugacy classes in SU(2)},
author = {Lisa C. Jeffrey and Augustin-Liviu Mare},
journal= {arXiv preprint arXiv:math/0211424},
year = {2007}
}
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7 pages