The affine Lie algebra $\hat{\mathfrak{sl}_2}(\C)$ and a conditioned space-time Brownian motion
Probability
2014-06-03 v4
Abstract
We construct a sequence of Markov processes on the set of dominant weights of the Affine Lie algebra which involves tensor product of irreducible highest weight modules of and show that it converges towards a Doob's space-time harmonic transformation of a space-time Brownian motion.
Keywords
Cite
@article{arxiv.1401.3115,
title = {The affine Lie algebra $\hat{\mathfrak{sl}_2}(\C)$ and a conditioned space-time Brownian motion},
author = {Manon Defosseux},
journal= {arXiv preprint arXiv:1401.3115},
year = {2014}
}