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

Stavros Kousidis; Thomas Bliem

arxiv: 1005.3256 · v1 · pith:T4Z7FCV7new · submitted 2010-05-18 · 🧮 math.RT

Expected degree of weights in Demazure modules of hat{sl}₂

Thomas Bliem , Stavros Kousidis This is my paper

classification 🧮 math.RT

keywords demazuredegreeexpectedmodulesbasischosencomputedimension

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We compute the expected degree of a randomly chosen element in a basis of weight vectors in the Demazure module $V_w(\Lambda)$ of $\hat{sl}_2$. We obtain en passant a new proof of Sanderson's dimension formula for these Demazure modules.

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Expected degree of weights in Demazure modules of hat{sl}₂

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