Rigidity in the invariant theory of compact groups

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dc.creatorLarsen, Michael J.
dc.date2002-12-15
dc.date.accessioned2026-07-07T04:53:47Z
dc.date.available2026-07-07T04:53:47Z
dc.descriptionA compact Lie group G and a faithful complex representation V determine a Sato-Tate measure, defined as the direct image of Haar measure on G with respect to the character of V. We give a necessary and sufficient condition for a Sato-Tate measure to be an isolated point in the set of such measures, regarded as a subset of the space of distributions. In particular we prove that the Sato-Tate measure of a connected and semisimple group with respect to an irreducible representation is an isolated point.
dc.description11 pages
dc.identifierhttps://arxiv.org/abs/math/0212193
dc.identifierhttp://arxiv.org/abs/math/0212193
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/65988
dc.subjectRepresentation Theory
dc.subjectGroup Theory
dc.subject22E15 (Primary) 11L05, 11T23 (Secondary)
dc.titleRigidity in the invariant theory of compact groups
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