Q-Kostka polynomials and spin Green polynomials

Anguo Jiang, Naihuan Jing, Ning Liu

We study the $Q$-Kostka polynomials $L_{\lambda \mu }(t)$ by the vertex operator realization of the $Q$-Hall-Littlewood functions $G_{\lambda }(x;t)$ and derive new formulae for $L_{\lambda \mu }(t)$. In parti…