Weyl, Fusion and Demazure modules for the current algebra of sl_{r+1}

Vyjayanthi Chari, Sergei Loktev

We construct a Poincare-Birkhoff-Witt type basis for the Weyl modules of the current algebra of $s{l}_{r+1}$. As a corollary we prove a conjecture made by Chari and Pressley on the d…