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

الأصل · 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.