Add to ORKGHatayama et al. conjectured fermionic formulas associated with tensor products of U'_q(g)-crystals B^{r,s}. The crystals B^{r,s} correspond to the Kirillov--Reshetikhin modules which are certain finite dimensional U'_q(g)-modules. In this paper we present a combinatorial description of the affine crystals B^{r,1} of type D_n^{(1)}. A statistic preserving bijection between crystal paths for these crystals and rigged configurations is given, thereby proving the fermionic formula in this case. This bijection reflects two different methods to solve lattice models in statistical mechanics: the corner-transfer-matrix method and the Bethe Ansatz
We establish a bijection between rigged configurations and highest weight elements of a tensor produ...
In this paper, we extend work of the first author on a crystal structure on rigged configur...
In this paper, we extend work of the first author on a crystal structure on rigged configur...
Hatayama et al. conjectured fermionic formulas associated with tensor products of U'_q(g)-c...
AbstractHatayama et al. conjectured fermionic formulas associated with tensor products of Uq′(g)-cry...
AbstractHatayama et al. conjectured fermionic formulas associated with tensor products of Uq′(g)-cry...
We establish a bijection between the set of rigged configurations and the set of tensor pro...
We establish a bijection between the set of rigged configurations and the set of tensor pro...
We establish a bijection between the set of rigged configurations and the set of tensor products of ...
© 2017, Springer Science+Business Media New York. We establish a bijection between the set of rigged...
Kerov, Kirillov, and Reshetikhin defined a bijection between highest weight vectors in the ...
We give a uniform description of the bijection \Phi from rigged configurations to tensor products of...
We introduce ``virtual'' crystals of the affine types $g=D_{n+1}^{(2)}$, $A_{2n}^{(2)}$ and...
We give a bijection Phi from rigged configurations to a tensor product of Kirillov Reshetikhin cryst...
We introduce ``virtual'' crystals of the affine types $g=D_{n+1}^{(2)}$, $A_{2n}^{(2)}$ and...
We establish a bijection between rigged configurations and highest weight elements of a tensor produ...
In this paper, we extend work of the first author on a crystal structure on rigged configur...
In this paper, we extend work of the first author on a crystal structure on rigged configur...
Hatayama et al. conjectured fermionic formulas associated with tensor products of U'_q(g)-c...
AbstractHatayama et al. conjectured fermionic formulas associated with tensor products of Uq′(g)-cry...
AbstractHatayama et al. conjectured fermionic formulas associated with tensor products of Uq′(g)-cry...
We establish a bijection between the set of rigged configurations and the set of tensor pro...
We establish a bijection between the set of rigged configurations and the set of tensor pro...
We establish a bijection between the set of rigged configurations and the set of tensor products of ...
© 2017, Springer Science+Business Media New York. We establish a bijection between the set of rigged...
Kerov, Kirillov, and Reshetikhin defined a bijection between highest weight vectors in the ...
We give a uniform description of the bijection \Phi from rigged configurations to tensor products of...
We introduce ``virtual'' crystals of the affine types $g=D_{n+1}^{(2)}$, $A_{2n}^{(2)}$ and...
We give a bijection Phi from rigged configurations to a tensor product of Kirillov Reshetikhin cryst...
We introduce ``virtual'' crystals of the affine types $g=D_{n+1}^{(2)}$, $A_{2n}^{(2)}$ and...
We establish a bijection between rigged configurations and highest weight elements of a tensor produ...
In this paper, we extend work of the first author on a crystal structure on rigged configur...
In this paper, we extend work of the first author on a crystal structure on rigged configur...