Strongly solvable spherical subgroups and their combinatorial invariants
Abstract
A subgroup H of an algebraic group G is said to be strongly solvable if H is contained in a Borel subgroup of G. This paper is devoted to establishing relationships between the following three combinatorial classifications of strongly solvable spherical subgroups in reductive complex algebraic groups: Luna's general classification of arbitrary spherical subgroups restricted to the strongly solvable case, Luna's 1993 classification of strongly solvable wonderful subgroups, and the author's 2011 classification of strongly solvable spherical subgroups. We give a detailed presentation of all the three classifications and exhibit interrelations between the corresponding combinatorial invariants, which enables one to pass from one of these classifications to any other.
Keywords
Cite
@article{arxiv.1212.3256,
title = {Strongly solvable spherical subgroups and their combinatorial invariants},
author = {Roman Avdeev},
journal= {arXiv preprint arXiv:1212.3256},
year = {2015}
}
Comments
v3: 58 pages, revised according to the referee's suggestions; v4: numbering of sections changed to agree with the published version