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

Chernousov, V.; Neher, E.; Pianzola, A.

doi:10.1090/mosc/271

Conjugacy of Cartan subalgebras in EALAs with a non-fgc centreless core
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by V. Chernousov, E. Neher and A. Pianzola

Trans. Moscow Math. Soc. 2017, 235-256

DOI: https://doi.org/10.1090/mosc/271

Published electronically: December 1, 2017

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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., $\ell \times \ell$-matrices over a quantum torus $\mathcal {Q}$ whose trace lies in the commutator space of $\mathcal {Q}$. This settles the last outstanding part of the conjugacy problem for Extended Affine Lie Algebras that remained open.

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