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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
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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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Goro Hatayama, Atsuo Kuniba, Masato Okado, Taichiro Takagi. 2000-12-26. Combinatorial R matrices for a family of crystals : B^{(1)}_n, D^{(1)}_n, A^{(2)}_{2n} and D^{(2)}_{n+1} cases. https://doi.org/10.1006/jabr.2001.9017

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