8 citations · 13 across the 3 of their papers we have counts for
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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…
math.CO2004★ 3 cited
Deformed universal characters for classical and affine algebras
Mark Shimozono, Mike Zabrocki
Creation operators are given for the three distinguished bases of the type BCD universal character ring of Koike and Terada yielding an elegant way of treating computations for all…
math.CO1999
A bijection between Littlewood-Richardson tableaux and rigged configurations
Anatol N. Kirillov, Anne Schilling, Mark Shimozono
A bijection is defined from Littlewood-Richardson tableaux to rigged configurations. It is shown that this map preserves the appropriate statistics, thereby proving a quasi-particl…