Jordan tori for a torsion free abelian group

doi:10.1007/s11464-014-0414-2

Front. Math. China

2015, Vol. 10

Issue (3) : 477-509 https://doi.org/10.1007/s11464-014-0414-2

RESEARCH ARTICLE

Jordan tori for a torsion free abelian group

Saeid AZAM^1,^2,^*(

),Yoji YOSHII³,Malihe YOUSOFZADEH^1,²

1. Department of Mathematics, University of Isfahan, P. O. Box 81745-163, Isfahan, Iran
2. School of Mathematics, Institute for Research in Fundamental Sciences (IPM), P. O. Box 19395-5746, Tehran, Iran
3. Department of Mathematics Education, Iwate University, Ueda 3-18-33, Morioka, Iwate 020-8550, Japan

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Abstract

We classify Jordan G-tori, where G is any torsion-free abelian group. Using the Zelmanov prime structure theorem, such a class divides into three types, the Hermitian type, the Clifford type, and the Albert type. We concretely describe Jordan G-tori of each type.

Keywords Jordan tori extended affine Lie algebra invariant affine reflection algebra

Corresponding Author(s): Saeid AZAM

Issue Date: 01 April 2015

Cite this article:

Saeid AZAM,Yoji YOSHII,Malihe YOUSOFZADEH. Jordan tori for a torsion free abelian group[J]. Front. Math. China, 2015, 10(3): 477-509.

URL:

https://academic.hep.com.cn/fmc/EN/10.1007/s11464-014-0414-2
https://academic.hep.com.cn/fmc/EN/Y2015/V10/I3/477

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