Geometric realizations of Lusztig's symmetries of symmetrizable quantum groups

TL;DR

This paper presents a geometric approach to realizing Lusztig's symmetries in symmetrizable quantum groups, extending previous methods to a more general setting.

Contribution

It generalizes existing geometric realizations of Lusztig's symmetries to symmetrizable quantum groups, broadening the scope of prior work.

Findings

Provides a new geometric construction for Lusztig's symmetries

Extends previous realizations to symmetrizable quantum groups

Enhances understanding of quantum group symmetries

Abstract

The geometric realizations of Lusztig's symmetries of symmetrizable quantum groups are given in this paper. This construction is a generalization of that in [19].