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arXiv 2009-03-25 DOI 10.1093/imrn/rnp112 1 views

Combinatorial R-matrices for Kirillov--Reshetikhin crystals of type D⁽¹⁾ₙ, B⁽¹⁾ₙ, A⁽²⁾₂ₙ₋₁

Okado, Masato · Sakamoto, Reiho

Original · EN

We calculate the image of the combinatorial R-matrix for any classical highest weight element in the tensor product of Kirillov--Reshetikhin crystals Bʳ,ᵏ⊗ B¹,ˡ of type D⁽¹⁾ₙ, B⁽¹⁾ₙ, A⁽²⁾₂ₙ₋₁. The notion of ±-diagrams is effectively used for the identification of classical highest weight elements in B¹,ˡ⊗ Bʳ,ᵏ.

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