Journal of Lie Theory 22 (2012), No. 1, 163--204
Copyright Heldermann Verlag 2012
Some Isomorphism Invariants for Lie Tori
Bruce Allison
Dept. of Mathematical and Statistical Sciences, University of Alberta, Edmonton, Alberta T6G 2G1, Canada
ballison@ualberta.ca
We study the isomorphism problem for centreless Lie tori that are fgc (finitely generated as modules over their centroid). These Lie tori play a important role in the theory of extended affine Lie algebras and of multiloop Lie algebras. We introduce four isomorphism invariants for fgc centreless Lie tori, and use them together with known structural results to investigate the classification problem for fgc centreless Lie tori up to isomorphism.
Keywords: Lie tori, extended affine Lie algebras.
MSC: 17B65, 17B67
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