Macdonald Polynomials and level two Demazure modules for affine ${\mathfrak{sl}}_{n+1}$

Rekha Biswal, Vyjayanthi Chari, Peri Shereen +1

We define a family of symmetric polynomials $G_{\nu ,\lambda }(z_1,\cdots ,z_{n+1},q)$ indexed by a pair of dominant integral weights. The polynomial $G_{\nu ,0}(z,q)$ is the specialized Macdon…