Alladi Ramakrishnan Hall

Fusion product structure of Demazure modules

R. Venkatesh

TIFR

Let g be a finite-dimensional complex simple Lie algebra. The g-stable Demazure modules of the untwisted affine Lie algebra associated to g naturally become finite-dimensional graded modules for the current algebra g[t] by restriction. In this talk, I will discuss results on the fusion product structure of these g[t]-modules and its connection with several important conjectures. These results generalize previous work by Fourier and Littelmann.