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Combinatorial R matrices for a family of crystals : B(1)n, D(1)n, A(2)2n and D(2)n+1 cases

Goro Hatayama, Atsuo Kuniba, Masato Okado, Taichiro Takagi

math.QAarXiv:math/0012247

Abstract

For coherent families of crystals of affine Lie algebras of type B(1)n, D(1)n, A(2)2n and D(2)n+1 we describe the combinatorial R matrix using column insertion algorithms for B,C,D Young tableaux.

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