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math.RT2010★ 1 cited
On the law of large numbers for Demazure modules of sl2hat
Thomas Bliem, Stavros Kousidis
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, an…
math.CO2010★ 69 cited
Gelfand-Tsetlin polytopes and Feigin-Fourier-Littelmann polytopes as marked poset polytopes
Federico Ardila, Thomas Bliem, Dido Salazar
Stanley (1986) showed how a finite partially ordered set gives rise to two polytopes, called the order polytope and chain polytope, which have the same Ehrhart polynomial despite b…
math.RT2010★ 1 cited
Expected degree of weights in Demazure modules of
Thomas Bliem, Stavros Kousidis
We compute the expected degree of a randomly chosen element in a basis of weight vectors in the Demazure module of . We obtain en passant a new proof of Sander…