2025/11/20 by Kevin Zwart, Zwart, Kevin
Mathematics · #22E30 #22E46 #43A75 #Advanced Combinatorial Mathematics #Advanced Differential Equations and Dynamical Systems #FOS: Mathematics #Group Theory (math.GR) #Homotopy and Cohomology in Algebraic Topology #Representation Theory (math.RT)
paper · pdf · doi:10.48550/arxiv.2511.16561
openalex publication_date 2025/11/20 · openalex created_date 2025/11/23 · openalex updated_date 2026/07/28
In this paper, we give an expository presentation of the paper of Olivier Mathieu. The paper of Mathieu proves that a Lie group-theoretic conjecture implies the Jacobian Conjecture. To give Mathieu's proof, we first review the required literature on representation theory in an expository way. We continue to prove some results on the irreducible subrepresentations of the tensor algebra of the standard representation of SL(N,ℂ). The last part of the paper is dedicated to Mathieu's proof.