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# Products of Conjugacy Classes in $SU(2)$

Published:2005-03-01
Printed: Mar 2005
• Lisa C. Jeffrey
• Augustin-Liviu Mare
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## Abstract

We obtain a complete description of the conjugacy classes $C_1,\dots,C_n$ in $SU(2)$ with the property that $C_1\cdots C_n=SU(2)$. The basic instrument is a characterization of the conjugacy classes $C_1,\dots,C_{n+1}$ in $SU(2)$ with $C_1\cdots C_{n+1}\ni I$, which generalizes a result of \cite{Je-We}.
 MSC Classifications: 14D20 - Algebraic moduli problems, moduli of vector bundles {For analytic moduli problems, see 32G13} 14P05 - Real algebraic sets [See also 12Dxx, 13P30]

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