42 citations · 53 across the 3 of their papers we have counts for
3 papers
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.QA2004★ 42 cited
X=M for symmetric powers
Anne Schilling, Mark Shimozono
The X=M conjecture of Hatayama et al. asserts the equality between the one-dimensional configuration sum X expressed as the generating function of crystal paths with energy statist…
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…