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

Thomas Bliem; Stavros Kousidis

doi:10.1007/s00031-011-9129-6

paper

Expected degree of weights in Demazure modules of $s l^_{2}$

arXiv:1005.3256 · doi:10.1007/s00031-011-9129-6

Abstract

We compute the expected degree of a randomly chosen element in a basis of weight vectors in the Demazure module $V_{w} (Λ)$ of $s l^_{2}$ . We obtain en passant a new proof of Sanderson's dimension formula for these Demazure modules.

arXiv comment16 pages

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Abstract

Cited by in corpus (1)

Expected degree of weights in Demazure modules of $s l^_{2}$