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math.QA2006
Existence of Crystal Bases for Kirillov-Reshetikhin Modules of Type D
Masato Okado
We show that a crystal base exists for any Kirillov-Reshetikhin module of type , generalizing the result of [(KMN)^2] for the end nodes of the Dynkin diagram of .
math.QA2006★ 39 cited
Perfect Crystals for U_q(D_4^{(3)})
Masaki Kashiwara, Kailash C. Misra, Masato Okado +1
A perfect crystal of any level is constructed for the Kirillov-Reshetikhin module of corresponding to the middle vertex of the Dynkin diagram. The actions of Kashi…
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…