Orbits of strongly solvable spherical subgroups on the flag variety
Algebraic Geometry
2018-06-26 v4 Representation Theory
Abstract
Let G be a connected reductive complex algebraic group and B a Borel subgroup of G. We consider a subgroup H of B acting with finitely many orbits on the flag variety G/B, and we classify the H-orbits in G/B in terms of suitable combinatorial invariants. As well, we study the Weyl group action defined by Knop on the set of H-orbits in G/B, and we give a combinatorial model for this action in terms of weight polytopes.
Keywords
Cite
@article{arxiv.1411.5818,
title = {Orbits of strongly solvable spherical subgroups on the flag variety},
author = {Jacopo Gandini and Guido Pezzini},
journal= {arXiv preprint arXiv:1411.5818},
year = {2018}
}
Comments
v4: final version, to appear on Journal of Algebraic Combinatorics. Apported some minor corrections to the previous version