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Products of Conjugacy Classes in SU(2)

Published online by Cambridge University Press:  20 November 2018

Lisa C. Jeffrey  and
Augustin-Liviu Mare
Lisa C. Jeffrey
Affiliation:
Department of Mathematics, University of Toronto, Toronto, ON, M5S 3G3 e-mail: jeffrey@math.toronto.edu
Augustin-Liviu Mare
Affiliation:
Department of Mathematics, University of Toronto, Toronto, ON, M5S 3G3 e-mail: amare@math.toronto.edu
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Abstract

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We obtain a complete description of the conjugacy classes ${{C}_{1,\ldots ,}}{{C}_{n}}$ in $SU\left( 2 \right)$ with the property that ${{C}_{1}}\cdots {{C}_{n}}\,=\,SU(2)$. The basic instrument is a characterization of the conjugacy classes ${{C}_{1,\ldots ,}}{{C}_{n+1}}$ in $SU\left( 2 \right)$ with ${{C}_{1}}\cdots {{C}_{n+1}}\,\backepsilon \,I$, which generalizes a result of $\left[ \text{Je-We} \right]$.

Keywords

14D2014P05
Type
Research Article
Information
Canadian Mathematical Bulletin , Volume 48 , Issue 1 , 01 March 2005 , pp. 90 - 96
Copyright
Copyright © Canadian Mathematical Society 2005

References

[Ag-Wo] Agnihotri, S. and Woodward, C. T., Eigenvalues of products of unitary matrices and quantum Schubert calculus. Math. Res. Lett. 5(1998), 817–836.Google Scholar
[Je-We] Jeffrey, L. C. and Weitsman, J., Bohr-Sommerfeld orbits in the moduli space of flat connections and the Verlinde dimension formula. Comm. Math. Phys. 150(1992), 593–630.Google Scholar
[KLM] Kapovich, M., Leeb, B. and Millson, J., The generalized triangle inequalities in symmetric spaces and buildings with applications to algebra. preprint math.RT/0210256.Google Scholar
[KM] Kapovich, M. and Millson, J., On the moduli space of a spherical polygonal linkage, Canad. Math. Bull. 42(1999), 307–320.Google Scholar