Verma modules and preprojective algebras
Representation Theory
2019-03-05 v2
Abstract
We give a geometric construction of the Verma modules of a symmetric Kac-Moody Lie algebra in terms of constructible functions on the varieties of nilpotent finite-dimensional modules of the corresponding preprojective algebra.
Cite
@article{arxiv.math/0411113,
title = {Verma modules and preprojective algebras},
author = {Christof Geiss and Bernard Leclerc and Jan Schröer},
journal= {arXiv preprint arXiv:math/0411113},
year = {2019}
}
Comments
Minor changes. Final version. To appear in Nagoya Math. Journal