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

Details 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

2009-03-27

arxiv.org/abs/0903.4767v2

Mathematics

Representation Theory

14pp, some typos are removed

Scientific paper

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.

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