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

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

2010-05-18

arxiv.org/abs/1005.3256v1

Transformation Groups 16 (2011) 1009-1025

Mathematics

Representation Theory

16 pages

Scientific paper

10.1007/s00031-011-9129-6

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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