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arxiv: 1009.2990 · v3 · pith:QW7J4G2Onew · submitted 2010-09-15 · 🧮 math.RT

On the law of large numbers for Demazure modules of sl2hat

classification 🧮 math.RT
keywords demazuremoduleslargenumberssl2hatweightallowsarbitrary
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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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