Secondary Characteristic Classes of Lie Algebra Extensions

TL;DR

This paper introduces secondary characteristic classes for Lie algebra extensions, providing a new proof of Lecomte's generalization of the Chern-Weil homomorphism, advancing the understanding of algebraic invariants.

Contribution

It presents a novel concept of secondary characteristic classes for Lie algebra extensions and offers a new proof of an existing generalization of the Chern-Weil homomorphism.

Findings

Introduction of secondary characteristic classes for Lie algebra extensions

A new proof of Lecomte's generalization of the Chern-Weil homomorphism

Enhanced understanding of algebraic invariants in Lie algebra theory

Abstract

We introduce a notion of secondary characteristic classes of Lie algebra extensions. As a spin-off of our construction we obtain a new proof of Lecomte's generalization of the Chern-Weil homomorphism.