Unipotent commutative group actions on flag varieties and nilpotent multiplications
Algebraic Geometry
2015-10-12 v1 Representation Theory
Abstract
Our goal is to classify all generically transitive actions of commutative unipotent groups on flag varieties up to conjugation. We establish relationship between this problem and classification of multiplications with certain properties on Lie algebra representations. Then we classify multiplications with the desired properties and solve the initial classification problem.
Keywords
Cite
@article{arxiv.1309.3480,
title = {Unipotent commutative group actions on flag varieties and nilpotent multiplications},
author = {Rostislav Devyatov},
journal= {arXiv preprint arXiv:1309.3480},
year = {2015}
}
Comments
25 pages, master thesis (improved afterwards)