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math.QA2005
Lusztig's q-analogue of weight multiplicity and one-dimensional sums for affine root systems
Cedric Lecouvey, Mark Shimozono
In this paper we complete the proof of the X=K conjecture, that for every family of nonexceptional affine algebras, the graded multiplicities of tensor products of symmetric power…
math.CO2005★ 8 cited
On the X=M=K Conjecture
Mark Shimozono
In the large rank limit, for any nonexceptional affine algebra, the graded branching multiplicities known as one-dimensional sums, are conjectured to have a simple relationship wit…