Traces on Infinite-Dimensional Brauer Algebras

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dc.creatorVershik, A.
dc.creatorNikitin, P.
dc.date2006-10-28
dc.date.accessioned2026-07-07T07:29:33Z
dc.date.available2026-07-07T07:29:33Z
dc.descriptionWe describe the central measures for the random walk on graded graphs. Using this description, we obtain the list of all finite traces on three infinite-dimensional algebras: on the Brauer algebra, on the partition algebra, and on the walled Brauer algebra. For the first two algebras, these lists coincide with the list of all finite traces of the infinite symmetric group. For the walled Brauer algebra, the list of finite traces coincide with the list of finite traces of the square of the latter group. We introduce the operation which corresponds to the graph another graph which called "Pasclization" of the initial graph and then give the general criteria for coinsidness of the sets of traces on both graphs.
dc.description9 pages, 20 Ref
dc.identifierhttps://arxiv.org/abs/math/0610879
dc.identifierhttp://arxiv.org/abs/math/0610879
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/118157
dc.subjectRepresentation Theory
dc.subjectOperator Algebras
dc.subject46L35
dc.titleTraces on Infinite-Dimensional Brauer Algebras
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