Cyclic Demazure modules and positroid varieties
Combinatorics
2018-09-17 v1 Representation Theory
Abstract
A positroid variety is an intersection of cyclically rotated Grassmannian Schubert varieties. Each graded piece of the homogeneous coordinate ring of a positroid variety is the intersection of cyclically rotated (rectangular) Demazure modules, which we call the cyclic Demazure module. In this note, we show that the cyclic Demazure module has a canonical basis, and define the cyclic Demazure crystal.
Keywords
Cite
@article{arxiv.1809.04965,
title = {Cyclic Demazure modules and positroid varieties},
author = {Thomas Lam},
journal= {arXiv preprint arXiv:1809.04965},
year = {2018}
}
Comments
17 pages. Contains proofs of some results announced in arXiv:1506.00603