The Basic Representation of the Current Group O(n,1)^X in the L^2 space over the generalized Lebesgue Measure

Simple item page
dc.creatorVershik, A. M.
dc.creatorGraev, M. I.
dc.date2005-03-20
dc.date.accessioned2026-07-07T05:18:09Z
dc.date.available2026-07-07T05:18:09Z
dc.descriptionWe give the realization of the representation of the current group O(n,1)^X where X is a manifold, in the Hilbert space of L^2(F,ν) of functionals on the the space F of the generalized functions on the manifold X which are square integrable over measure νwhich is related to a distinguish Levy process with values in R^{n-1} which generalized one dimensional gamma process. Unipotent subgroup of the group O(n,1)^X acts as the group of multiplicators. Measure νis sigma-finite and invariant under the action current group O(n-1)^X. Ther case of n=2 (SL(2,R^X)) was considered before in the series of papers starting from the article Vershik-Gel'fand-Graev (1973).
dc.description26 p. Refs 19
dc.identifierhttps://arxiv.org/abs/math/0503404
dc.identifierhttp://arxiv.org/abs/math/0503404
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/74558
dc.subjectRepresentation Theory
dc.subjectProbability
dc.subject22E45
dc.titleThe Basic Representation of the Current Group O(n,1)^X in the L^2 space over the generalized Lebesgue Measure
dc.typetext

Files

Collections

arXiv