On solvable spherical subgroups of semisimple algebraic groups

TL;DR

This paper develops a structure theory and provides an explicit classification of connected solvable spherical subgroups within semisimple algebraic groups, advancing understanding of their algebraic properties.

Contribution

It introduces a comprehensive structure theory and classifies all connected solvable spherical subgroups up to conjugation in semisimple algebraic groups.

Findings

Explicit classification of solvable spherical subgroups

Development of a structure theory for these subgroups

Classification results up to conjugation

Abstract

We develop a structure theory of connected solvable spherical subgroups in semisimple algebraic groups. Based on this theory, we obtain an explicit classification of all such subgroups up to conjugation.