Weyl modules, Demazure modules and finite crystals for non-simply laced type
Representation Theory
2012-10-02 v4 Quantum Algebra
Abstract
We show that every Weyl module for a current algebra has a filtration whose successive quotients are isomorphic to Demazure modules, and that the path model for a tensor product of level zero fundamental representations is isomorphic to a disjoint union of Demazure crystals. Moreover, we show that the Demazure modules appearing in these two objects coincide exactly. Though these results have been previously known in the simply laced case, they are new in the non-simply laced case.
Cite
@article{arxiv.1012.5480,
title = {Weyl modules, Demazure modules and finite crystals for non-simply laced type},
author = {Katsuyuki Naoi},
journal= {arXiv preprint arXiv:1012.5480},
year = {2012}
}
Comments
54pages, added references, corrected typos and unclear expressions