Double cosets for \(\SU(2)\times...\times\SU(2)\) and outer automorphisms of free groups

Double cosets for \(\SU(2)\times...\times\SU(2)\) and outer automorphisms of free groups

Consider the space of double cosets of the product of \(n\) copies of \(\SU(2)\) with respect to the diagonal subgroup. We get a parametrization of this space, the radial part of the Haar measure, and explicit formulas for the actions of the group of outer automorphisms of the free group \(F_{n-1}\)...

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Veröffentlicht in:arXiv.org 2009-05
1. Verfasser: Neretin, Yuri A
Format: Artikel
Sprache:eng
Schlagworte:
Automorphisms
Braid theory
Parameterization
Strings
Subgroups
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Zusammenfassung:Consider the space of double cosets of the product of \(n\) copies of \(\SU(2)\) with respect to the diagonal subgroup. We get a parametrization of this space, the radial part of the Haar measure, and explicit formulas for the actions of the group of outer automorphisms of the free group \(F_{n-1}\) and of the braid group of \(n-1\) strings.
ISSN:2331-8422