On the law of large numbers for Demazure modules of sl2hat

Details On the law of large numbers for Demazure modules of sl2hat On the law of large numbers for Demazure modules of sl2hat

2010-09-15

arxiv.org/abs/1009.2990v3

Mathematics

Representation Theory

15 pages, 5 figures

Scientific paper

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.

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