A uniform model for Kirillov-Reshetikhin crystals II. Alcove model, path model, and P=X

Cristian Lenart, Satoshi Naito, Daisuke Sagaki +2

We establish the equality of the specialization $P_{\lambda }(x;q,0)$ of the Macdonald polynomial at $t=0$ with the graded character $X_{\lambda }(x;q)$ of a tensor product of "single-column" Kirill…