On solvable spherical subgroups of semisimple algebraic groups (report version)

TL;DR

This paper introduces a novel explicit classification method for solvable spherical subgroups within semisimple algebraic groups, offering a new perspective that differs from previous approaches by D. Luna.

Contribution

It presents a completely new approach to classify solvable spherical subgroups, providing explicit descriptions and advancing understanding in the field.

Findings

Developed a new classification framework.

Provided explicit descriptions of solvable spherical subgroups.

Offered a different methodology from Luna's approach.

Abstract

A new approach to classification of solvable spherical subgroups of semisimple algebraic groups is considered. This approach is completely different from the known approach by D. Luna and provides an explicit classification.