On the law of large numbers for Demazure modules of sl2hat

Abstract

We determine the covariance of the weight distribution in level 1 Demazure modules of sl2hat. This allows us to prove a weak law of large numbers for these weight distributions, and leads to a conjecture about the asymptotic concentration of weights for arbitrary Demazure modules.

arXiv comment15 pages, 5 figures

References in corpus (1)

• Expected degree of weights in Demazure modules of ${\widehat{sl}}_2$