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Products of Conjugacy Classes in $SU(2)$ |
Canad. Math. Bull. 48(2005), 90-96
Published:2005-03-01
Printed: Mar 2005
Printed: Mar 2005
- Lisa C. Jeffrey
- Augustin-Liviu Mare
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] |