86 citations · 191 across the 7 of their papers we have counts for
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math.CO2007★ 12 cited
The forgotten monoid
Jean-Christophe Novelli, Anne Schilling
We study properties of the forgotten monoid which appeared in work of Lascoux and Schutzenberger and recently resurfaced in the construction of dual equivalence graphs by Assaf. In…
math.QA2007★ 86 cited
Existence of Kirillov-Reshetikhin crystals for nonexceptional types
Masato Okado, Anne Schilling
Using the methods of Kang et al. and recent results on the characters of Kirillov-Reshetikhin modules by Nakajima and Hernandez, the existence of Kirillov-Reshetikhin crystals B^{r…
math.QA2007★ 22 cited
Combinatorial structure of Kirillov-Reshetikhin crystals of type D_n(1), B_n(1), A_{2n-1}(2)
Anne Schilling
We provide the explicit combinatorial structure of the Kirillov-Reshetikhin crystals B^{r,s} of type D_n(1), B_n(1), and A_{2n-1}(2). This is achieved by constructing the crystal a…