Work

Invariant derivations and trace bounds

Year: 2025

Type: article

Abstract: About 20 years ago, J-P. Serre announced a bound on the trace of elements of compact Lie groups under the adjoint representation together with related results, provided indications of his proofs, and invited a better proof. This note provides a new, general method for proving such bounds; uses that method to derive Serre’s bounds; gives a second proof of Serre’s announced results that (we learned) closely follows his original argument; and provides lower bounds for traces of other representations of compact Lie groups and for Brauer characters of finite groups.

Source: Journal de l’École polytechnique — Mathématiques

DOI: 10.5802/jep.310

Authors: Skip Garibaldi, Robert M. Guralnick, Eric M. Rains

Language: English

Topic: Advanced Algebra and Geometry

Subfield: Mathematical Physics

Field: Mathematics

Domain: Physical Sciences

Open Access status: diamond

Funder: National Science Foundation

Award: Cohomology and Representations of Finite and Algebraic Groups with Applications

OpenAlex ID: W4413576160