65 citations · 130 across the 7 of their papers we have counts for
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math.QA2006★ 40 cited
Tau functions in combinatorial Bethe ansatz
Atsuo Kuniba, Reiho Sakamoto, Yasuhiko Yamada
We introduce ultradiscrete tau functions associated with rigged configurations for A^{(1)}_n. They satisfy an ultradiscrete version of the Hirota bilinear equation and play a role…
math.QA2006★ 65 cited
Crystal interpretation of Kerov-Kirillov-Reshetikhin bijection
Atsuo Kuniba, Masato Okado, Reiho Sakamoto +2
The Kerov-Kirillov-Reshetikhin (KKR) bijection is the crux in proving fermionic formulas. It is defined by a combinatorial algorithm on rigged configurations and highest paths. We…