121 citations · 1.4k across the 88 of their papers we have counts for
4 papers · 1 filter
A uniform model for Kirillov-Reshetikhin crystals. Extended abstract
Cristian Lenart, Satoshi Naito, Daisuke Sagaki +2
We present a uniform construction of tensor products of one-column Kirillov-Reshetikhin (KR) crystals in all untwisted affine types, which uses a generalization of the Lakshmibai-S…
A uniform model for Kirillov-Reshetikhin crystals I: Lifting the parabolic quantum Bruhat graph
Cristian Lenart, Satoshi Naito, Daisuke Sagaki +2
We lift the parabolic quantum Bruhat graph into the Bruhat order on the affine Weyl group and into Littelmann's poset on level-zero weights. We establish a quantum analogue of Deod…
A combinatorial formula for fusion coefficient
Jennifer Morse, Anne Schilling
Using the expansion of the inverse of the Kostka matrix in terms of tabloids as presented by Egecioglu and Remmel, we show that the fusion coefficients can be expressed as an alter…
Combinatorial Markov chains on linear extensions
Arvind Ayyer, Steven Klee, Anne Schilling
We consider generalizations of Schuetzenberger's promotion operator on the set L of linear extensions of a finite poset of size n. This gives rise to a strongly connected graph on…