Conjugacy of Cartan subalgebras in EALAs with a non-fgc centreless core

Abstract

We establish the conjugacy of Cartan subalgebras for extended affine Lie algebras whose centreless core is "of type A", i.e., matrices over a quantum torus Q whose trace lies in the commutator space of Q. This settles the last outstanding part of the conjugacy problem for Extended Affine Lie Algebras that remained open.

arXiv comment21 pages. arXiv admin note: text overlap with arXiv:1602.07759