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

2017/04/27 by Chernousov, Vladimir, Neher, Erhard, Pianzola, Arturo
#16S36 #17B40 #17B67 #FOS: Mathematics #Representation Theory (math.RT) #Rings and Algebras (math.RA)

paper · doi:10.48550/arxiv.1704.08748

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.

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