Geodesic
Conjugacy of Cartan subalgebras in EALAs with a~non-fgc
Trudy Moskovskogo matematičeskogo obŝestva, Trudy Moskovskogo Matematicheskogo Obshchestva, Tome 78 (2017) no. 2, pp. 283-309

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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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     author = {V. Chernousov and E. Neher and A. Pianzola},
     title = {Conjugacy of {Cartan} subalgebras in {EALAs} with a~non-fgc},
     journal = {Trudy Moskovskogo matemati\v{c}eskogo ob\^{s}estva},
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V. Chernousov; E. Neher; A. Pianzola. Conjugacy of Cartan subalgebras in EALAs with a~non-fgc. Trudy Moskovskogo matematičeskogo obŝestva, Trudy Moskovskogo Matematicheskogo Obshchestva, Tome 78 (2017) no. 2, pp. 283-309. http://geodesic.mathdoc.fr/item/MMO_2017_78_2_a4/