Counterexample to conjugacy of maximal abelian diagonalizable subalgebras in Extended Affine Lie algebras

TL;DR

This paper presents a counterexample demonstrating that maximal abelian diagonalizable subalgebras in extended affine Lie algebras are not always conjugate, challenging previous assumptions in the field.

Contribution

It provides the first known counterexample to the conjugacy of these subalgebras in extended affine Lie algebras.

Findings

Counterexample disproves conjugacy assumption

Challenges existing theory on subalgebra conjugacy

Highlights need for revised classification methods

Abstract

We give a counterexample to the conjugacy of maximal abelian diagonalizable subalgebras in extended affine Lie algebras.