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math.RT2008★ 7 cited
Alcove walks, buildings, symmetric functions and representations
James Parkinson, Arun Ram
For a complex simple Lie algebra, the dimension of the weight space of a finite dimensional representation of highest weight is the same as the number of Littelman…
math.RT2008
Combinatorics in affine flag varieties
James Parkinson, Arun Ram, Christoph Schwer
The Littelmann path moel gives a realization of the crystals of integrable representations of symmetrizable Kac-Moody Lie algebras. Recent work of Gaussent-Littelmann and others ha…