Affine Lie algebras and conditioned space-time Brownian motions in affine Weyl chambers
成果类型：
Article
署名作者：
Defosseux, Manon
署名单位：
Universite Paris Cite
刊物名称：
PROBABILITY THEORY AND RELATED FIELDS
ISSN/ISSBN：
0178-8051
DOI：
10.1007/s00440-015-0642-8
发表日期：
2016
页码：
649-665
关键词：
摘要：
We construct a sequence of Markov processes on the set of dominant weights of an affine Lie algebra g considering tensor product of irreducible highest weight modules of g and specializations of the characters involving the Weyl vector.. We show that it converges towards a space-time Brownian motion with a drift, conditioned to remain in a Weyl chamber associated to the root system of g. This extends in particular the results of Defosseux (arXiv:1401.3115,2014) to any affine Lie algebras, in the case with a drift.