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

Details Combinatorial R matrices for a family of crystals : B^{(1)}_n, D^{(1)}_n, A^{(2)}_{2n} and D^{(2)}_{n+1} cases Combinatorial R matrices for a family of crystals : B^{(1)}_n, D^{(1)}_n, A^{(2)}_{2n} and D^{(2)}_{n+1} cases

2000-12-26

arxiv.org/abs/math/0012247v1

Mathematics

Quantum Algebra

39 pages, LaTeX. This is a continuation of the authors' work appeared in "Physical Combinatorics", ed. M.Kashiwara and T.Miwa,

Scientific paper

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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