The Kirillov--Reshetikhin modules W^{r,s} are finite-dimensional representations of quantum affine algebras U'_q(g), labeled by a Dynkin node r of the affine Kac--Moody algebra g and a positive integer s. In this paper we study the combinatorial structure of the crystal basis B^{2,s} corresponding to W^{2,s} for the algebra of type D_n^{(1)}
We establish the equality of the specialization $P_\lambda(x;q,0)$ of the Macdonald polynom...
We give a practical method for the construction of finite-dimensional representations of U-q(G), whe...
AbstractWe develop the combinatorics of Young walls associated with higher level adjoint crystals fo...
35 pagesIn this survey, we shall be concerned with the category of finite-dimensional representation...
Hatayama et al. conjectured fermionic formulas associated with tensor products of U'_q(g)-c...
This thesis lies at the crossroads of representation theory and combinatorics. It is subdivided into...
We provide the explicit combinatorial structure of the Kirillov-Reshetikhin crystals B^{r,s...
Using the methods of Kang et al. and recent results on the characters of Kirillov-Reshetikh...
Abstract. We establish the equality of the specialization Pλ(x; q, 0) of the Macdonald poly-nomial a...
Using combinatorics of Young walls, we give a new realization of arbitrary level irreducible highes...
We introduce ``virtual'' crystals of the affine types $g=D_{n+1}^{(2)}$, $A_{2n}^{(2)}$ and...
We construct a combinatorial crystal structure on the Kirillov-Reshetikhin crystal B^{7,s} in type E...
Kirillov and Reshetikhin conjectured what is now known as the fermionic formula for the dec...
Zigzag strip bundles are new combinatorial models realizing the crystals B(infinity) for the quantum...
We provide the unique affine crystal structure for type E_6^{(1)} Kirillov-Reshetikhin crys...
We establish the equality of the specialization $P_\lambda(x;q,0)$ of the Macdonald polynom...
We give a practical method for the construction of finite-dimensional representations of U-q(G), whe...
AbstractWe develop the combinatorics of Young walls associated with higher level adjoint crystals fo...
35 pagesIn this survey, we shall be concerned with the category of finite-dimensional representation...
Hatayama et al. conjectured fermionic formulas associated with tensor products of U'_q(g)-c...
This thesis lies at the crossroads of representation theory and combinatorics. It is subdivided into...
We provide the explicit combinatorial structure of the Kirillov-Reshetikhin crystals B^{r,s...
Using the methods of Kang et al. and recent results on the characters of Kirillov-Reshetikh...
Abstract. We establish the equality of the specialization Pλ(x; q, 0) of the Macdonald poly-nomial a...
Using combinatorics of Young walls, we give a new realization of arbitrary level irreducible highes...
We introduce ``virtual'' crystals of the affine types $g=D_{n+1}^{(2)}$, $A_{2n}^{(2)}$ and...
We construct a combinatorial crystal structure on the Kirillov-Reshetikhin crystal B^{7,s} in type E...
Kirillov and Reshetikhin conjectured what is now known as the fermionic formula for the dec...
Zigzag strip bundles are new combinatorial models realizing the crystals B(infinity) for the quantum...
We provide the unique affine crystal structure for type E_6^{(1)} Kirillov-Reshetikhin crys...
We establish the equality of the specialization $P_\lambda(x;q,0)$ of the Macdonald polynom...
We give a practical method for the construction of finite-dimensional representations of U-q(G), whe...
AbstractWe develop the combinatorics of Young walls associated with higher level adjoint crystals fo...