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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, 14P05 show english descriptions Algebraic moduli problems, moduli of vector bundles {For analytic moduli problems, see 32G13}
Real algebraic sets [See also 12Dxx, 13P30]
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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