Quiver Hall-Littlewood functions and Kostka-Shoji polynomials

Daniel Orr, Mark Shimozono

For any triple $(i,a,\mu )$ consisting of a vertex $i$ in a quiver $Q$, a positive integer $a$, and a dominant $G{L}_a$-weight $\mu$, we define a quiver current $H_{\mu }^{(i,a)}$ acting on th…