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math.PR2014★ 6 cited
Affine Lie algebras and a conditioned space-time Brownian motion in an affine Weyl chamber
Manon Defosseux
We construct a sequence of Markov processes on the set of dominant weights of an affine Lie algebra considering tensor product of irreducible highest weight modules…
math.PR2014★ 2 cited
The affine Lie algebra $\hat{\mathfrak{sl}_2}(\C)$ and a conditioned space-time Brownian motion
Manon Defosseux
We construct a sequence of Markov processes on the set of dominant weights of the Affine Lie algebra $\hat{\mathfrak{sl}_2}(\C)$ which involves tensor product of irreducible highes…