L\'evy Processes on $U_q(g)$ as Infinitely Divisible Representations
Probability
2007-05-23 v1
Abstract
L\'evy processes on bialgebras are families of infinitely divisible representations. We classify the generators of L\'evy processes on the compact forms of the quantum algebras , where 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.
Cite
@article{arxiv.math/9907016,
title = {L\'evy Processes on $U_q(g)$ as Infinitely Divisible Representations},
author = {V. K. Dobrev and H. -D. Doebner and U. Franz and R. Schott},
journal= {arXiv preprint arXiv:math/9907016},
year = {2007}
}
Comments
13 pages, LATEX file, ASI-TPA/13/99 (TU Clausthal); 6/99 (Preprint-Reihe Mathmatik, Univ. Greifswald);