Frontiers of Mathematics in China >

2015 , Vol. 10 >Issue 3: 477 - 509

DOI: https://doi.org/10.1007/s11464-014-0414-2

RESEARCH ARTICLE

Jordan tori for a torsion free abelian group

  • Saeid AZAM , 1,2 ,
  • Yoji YOSHII 3 ,
  • Malihe YOUSOFZADEH 1,2
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  • 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

Received date: 23 Oct 2013

Accepted date: 19 Mar 2014

Published date: 01 Apr 2015

Copyright

2014 Higher Education Press and Springer-Verlag Berlin Heidelberg
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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.

Key words： Jordan tori; extended affine Lie algebra; invariant affine reflection algebra

Cite this article

Saeid AZAM , Yoji YOSHII , Malihe YOUSOFZADEH . Jordan tori for a torsion free abelian group[J]. Frontiers of Mathematics in China, 2015 , 10(3) : 477 -509 . DOI: 10.1007/s11464-014-0414-2

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