Centralizers in partially commutative Lie algebras (in Russian)

TL;DR

This paper provides an explicit description of centralizers in partially commutative Lie algebras, detailing their structure in terms of generators, which advances understanding of their algebraic properties.

Contribution

It offers the first complete, explicit characterization of centralizers in partially commutative Lie algebras using generators, filling a gap in algebraic theory.

Findings

Explicit description of centralizers in terms of generators

Complete characterization of centralizers in these algebras

Advances understanding of algebraic structure

Abstract

In this paper, the complete description of centralizers of elements in partially commutative Lie algebras is obtained. The description is given explicitly in the terms of generators.