Tuna Altinel, Alexandre V. Borovik, Gregory Cherlin

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. This is a continuation of previous work by the authors (2000, in “Physical Combinatorics” (M. Kashiwara and T. Miwa, Eds.), Birkhäuser, Boston).