Expected degree of weights in Demazure modules of $\hat{sl}_2$
Thomas Bliem, Stavros Kousidis
TL;DR
This paper calculates the average degree of elements in Demazure modules of sl_2 and offers a new proof of Sanderson's dimension formula, enhancing understanding of these algebraic structures.
Contribution
It provides a novel computation of the expected degree in Demazure modules and introduces a new proof of Sanderson's dimension formula.
Findings
Expected degree of elements in Demazure modules computed
New proof of Sanderson's dimension formula established
Enhanced understanding of sl_2 Demazure modules
Abstract
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 Sanderson's dimension formula for these Demazure modules.
Peer Reviews
No public reviews on file for this paper yet. If you reviewed it on a platform where reviews are public (OpenReview, ICLR, NeurIPS, ICML), you can paste yours below so the community can read it here.
Videos
No videos yet. Explain this paper in a talk, walkthrough, or lecture? Add one.