The index of centralizers of elements of reductive Lie algebras

TL;DR

This paper investigates the index of centralizers of elements within reductive Lie algebras, providing insights into their structure and properties, which are fundamental in understanding the algebra's representation theory.

Contribution

It introduces new methods for calculating the index of centralizers and explores their implications in the broader context of Lie algebra theory.

Findings

Derived explicit formulas for the index of centralizers

Established relationships between the index and algebraic invariants

Extended previous results to a wider class of reductive Lie algebras

Abstract

same as arXiv:0904.1778