Year: 2025
Type: article
Abstract: Given a Lie algebra [Formula: see text] and a [Formula: see text]-module [Formula: see text], it is due to Gerstenhaber that there is an isomorphism between [Formula: see text] and the group of equivalence classes of crossed modules with kernel [Formula: see text] and cokernel [Formula: see text]. The goal of this paper is to obtain this result for pre-Lie algebras and their modules.
Author: Xuedan Luo
Institution: Nankai University
Language: English
Topic: Advanced Topics in Algebra
Subfield: Algebra and Number Theory
Field: Mathematics
Domain: Physical Sciences
Open Access status: green
OpenAlex ID: W4413433213