Quasi-Frobenius-Lusztig kernels for simple Lie algebras

TL;DR

This paper constructs the quasi-Frobenius-Lusztig kernel for all simple Lie algebras, advancing the understanding of quantum group structures associated with Lie algebras.

Contribution

It introduces a new construction of the quasi-Frobenius-Lusztig kernel applicable to any simple Lie algebra, expanding the toolkit for quantum algebra research.

Findings

Established the existence of the quasi-Frobenius-Lusztig kernel for simple Lie algebras

Provided explicit construction methods for the kernel

Enhanced the theoretical framework of quantum groups

Abstract

In this paper, we construct the quasi-Frobenius-Lusztig kernel for any simple Lie algebra $\mathfrak{g}$.