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arXiv · 1704.08748

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

Vladimir Chernousov·Erhard Neher·Arturo Pianzola
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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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Vladimir Chernousov, Erhard Neher, Arturo Pianzola. 2017-04-27. Conjugacy of Cartan subalgebras in EALAs with a non-fgc centreless core. https://arxiv.org/abs/1704.08748

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