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

Representation Theory 2011-11-01 v1

Abstract

We compute the expected degree of a randomly chosen element in a basis of weight vectors in the Demazure module Vw(Λ)V_w(\Lambda) of sl^2\hat{sl}_2. We obtain en passant a new proof of Sanderson's dimension formula for these Demazure modules.

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Cite

@article{arxiv.1005.3256,
  title  = {Expected degree of weights in Demazure modules of $\hat{sl}_2$},
  author = {Thomas Bliem and Stavros Kousidis},
  journal= {arXiv preprint arXiv:1005.3256},
  year   = {2011}
}

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16 pages