Double cosets for $\SU(2)\times...\times\SU(2)$ and outer automorphisms of free groups
Int Math Res Notices (2011) Vol. 2011 2047-2067 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...
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description | Int Math Res Notices (2011) Vol. 2011 2047-2067 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. |
doi_str_mv | 10.48550/arxiv.0903.4767 |
format | Article |
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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.</description><identifier>DOI: 10.48550/arxiv.0903.4767</identifier><language>eng</language><subject>Mathematics - Group Theory ; Mathematics - Representation Theory</subject><creationdate>2009-03</creationdate><rights>http://arxiv.org/licenses/nonexclusive-distrib/1.0</rights><oa>free_for_read</oa><woscitedreferencessubscribed>false</woscitedreferencessubscribed></display><links><openurl>$$Topenurl_article</openurl><openurlfulltext>$$Topenurlfull_article</openurlfulltext><thumbnail>$$Tsyndetics_thumb_exl</thumbnail><link.rule.ids>228,230,776,881</link.rule.ids><linktorsrc>$$Uhttps://arxiv.org/abs/0903.4767$$EView_record_in_Cornell_University$$FView_record_in_$$GCornell_University$$Hfree_for_read</linktorsrc><backlink>$$Uhttps://doi.org/10.48550/arXiv.0903.4767$$DView paper in arXiv$$Hfree_for_read</backlink></links><search><creatorcontrib>Neretin, Yuri A</creatorcontrib><title>Double cosets for $\SU(2)\times...\times\SU(2)$ and outer automorphisms of free groups</title><description>Int Math Res Notices (2011) Vol. 2011 2047-2067 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.</description><subject>Mathematics - Group Theory</subject><subject>Mathematics - Representation Theory</subject><fulltext>true</fulltext><rsrctype>article</rsrctype><creationdate>2009</creationdate><recordtype>article</recordtype><sourceid>GOX</sourceid><recordid>eNotzztPwzAUBWAvDKiwMyEPHWCIsetH7BGVR5EqMbRlqhRdu9cQqcGRnSD496iE6Ryd4UgfIVeCM2W15neQv9svxh2XTNWmPidvD2n0R6QhFRwKjSnT-X6zu1nc7oe2w8IYm8o0zil8HmgaB8wUxiF1KfcfbekKTZHGjEjfcxr7ckHOIhwLXv7njGyfHrfLVbV-fX5Z3q8rMLqujFOoTYjOWlDGWB-Ft8HU1i88dxokV8i99AFBGMm580JE7UEFkOZgopyR6-n2z9X0ue0g_zQnX3PyyV-XC0n1</recordid><startdate>20090327</startdate><enddate>20090327</enddate><creator>Neretin, Yuri A</creator><scope>AKZ</scope><scope>GOX</scope></search><sort><creationdate>20090327</creationdate><title>Double cosets for $\SU(2)\times...\times\SU(2)$ and outer automorphisms of free groups</title><author>Neretin, Yuri A</author></sort><facets><frbrtype>5</frbrtype><frbrgroupid>cdi_FETCH-LOGICAL-a657-694e56cf988a4668bf1b8c678b2b095a304e0b3bcea163009b11f5ba4ca36d6f3</frbrgroupid><rsrctype>articles</rsrctype><prefilter>articles</prefilter><language>eng</language><creationdate>2009</creationdate><topic>Mathematics - Group Theory</topic><topic>Mathematics - Representation Theory</topic><toplevel>online_resources</toplevel><creatorcontrib>Neretin, Yuri A</creatorcontrib><collection>arXiv Mathematics</collection><collection>arXiv.org</collection></facets><delivery><delcategory>Remote Search Resource</delcategory><fulltext>fulltext_linktorsrc</fulltext></delivery><addata><au>Neretin, Yuri A</au><format>journal</format><genre>article</genre><ristype>JOUR</ristype><atitle>Double cosets for $\SU(2)\times...\times\SU(2)$ and outer automorphisms of free groups</atitle><date>2009-03-27</date><risdate>2009</risdate><abstract>Int Math Res Notices (2011) Vol. 2011 2047-2067 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.</abstract><doi>10.48550/arxiv.0903.4767</doi><oa>free_for_read</oa></addata></record> |
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subjects | Mathematics - Group Theory Mathematics - Representation Theory |
title | Double cosets for $\SU(2)\times...\times\SU(2)$ and outer automorphisms of free groups |
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