Lévy Processes on $U_q(g)$ as Infinitely Divisible Representations

dc.creatorDobrev, V. K.
dc.creatorDoebner, H. -D.
dc.creatorFranz, U.
dc.creatorSchott, R.
dc.date1999-07-02
dc.date.accessioned2026-07-07T05:29:46Z
dc.date.available2026-07-07T05:29:46Z
dc.descriptionLévy processes on bialgebras are families of infinitely divisible representations. We classify the generators of Lévy processes on the compact forms of the quantum algebras $U_q(g)$, where $g$ is a simple Lie algebra. Then we show how the processes themselves can be reconstructed from their generators and study several classical stochastic processes that can be associated to these processes.
dc.description13 pages, LATEX file, ASI-TPA/13/99 (TU Clausthal); 6/99 (Preprint-Reihe Mathmatik, Univ. Greifswald);
dc.identifierhttps://arxiv.org/abs/math/9907016
dc.identifierhttp://arxiv.org/abs/math/9907016
dc.identifierContemp. Math. 261 (2000) 181-192
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/78769
dc.subjectProbability
dc.subject60B99, 60G20, 60J30, 17B37, 16W30, 57T05
dc.titleLévy Processes on $U_q(g)$ as Infinitely Divisible Representations
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