Quantization of coisotropic subalgebras in complex semisimple Lie Algebras

TL;DR

This paper develops a quantization method for certain coisotropic subalgebras in complex semisimple Lie bialgebras, extending previous constructions to include exceptional cases.

Contribution

It provides a new quantization framework for coisotropic subalgebras, expanding the scope to exceptional complex semisimple Lie bialgebras.

Findings

Quantization of coisotropic subalgebras in classical cases.

Extension of quantization methods to exceptional Lie bialgebras.

Framework applicable to a broad class of Lie bialgebras.

Abstract

The aim of this article is to give a quantization of some coisotropic subalgebras in complex semisimple Lie bialgebras. The coisotropic subalgebras that will be quantized are those given by Zambon in his paper "`A Construction for coisotropic subalgebras of Lie Bialgebras"' [Zam08]. We will also extend the construction for the exceptional complex semisimple Lie bialgebras.