Journal of Lie Theory

no. 1
Some Isomorphism Invariants for Lie Tori
Journal of Lie Theory, Volume 22 (2012) no. 1, pp. 163-204
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.
DOI: 10.5802/jolt.665
Classification: 17B65, 17B67
Keywords: Lie tori, extended affine Lie algebras 
@article{JOLT_2012_22_1_a6,
     author = {B. Allison},
     title = {Some {Isomorphism} {Invariants} for {Lie} {Tori}},
     journal = {Journal of Lie Theory},
     pages = {163--204},
     year = {2012},
     volume = {22},
     number = {1},
     doi = {10.5802/jolt.665},
     zbl = {1254.17020},
     url = {https://jolt.centre-mersenne.org/articles/10.5802/jolt.665/}
}
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B. Allison. Some Isomorphism Invariants for Lie Tori. Journal of Lie Theory, Volume 22 (2012) no. 1, pp. 163-204. doi: 10.5802/jolt.665

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