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math.QA1999
Combinatorial R matrices for a family of crystals : C^{(1)}_n and A^{(2)}_{2n-1} cases
Goro Hatayama, Atsuo Kuniba, Masato Okado +1
The combinatorial R matrices are obtained for a family {B_l} of crystals for U'_q(C^{(1)}_n) and U'_q(A^{(2)}_{2n-1}), where B_l is the crystal of the irreducible module correspond…
math.QA1999
Finite Crystals and Paths
Goro Hatayama, Yoshiyuki Koga, Atsuo Kuniba +2
We consider a category of finite crystals of a quantum affine algebra whose objects are not necessarily perfect, and set of paths, semi-infinite tensor product of an object of this…
math.QA1998
Remarks on Fermionic Formula
Goro Hatayama, Atsuo Kuniba, Masato Okado +2
Fermionic formulae originate in the Bethe ansatz in solvable lattice models. They are specific expressions of some q-polynomials as sums of products of q-binomial coefficients. We…