Jordan tori for a torsion free abelian group
Jordan tori for a torsion free abelian group作者机构:Department of Mathematics University of Isfahan P. O. Box 81745-163 Isfahan Iran School of Mathematics Institute for Research in Fundamental Sciences (IPM) P. O. Box 19395-5746 Tehran Iran Department of Mathematics Education Iwate University Ueda 3-18-33 Morioka Iwate 020-8550 Japan
出 版 物:《Frontiers of Mathematics in China》 (中国高等学校学术文摘·数学(英文))
年 卷 期:2015年第10卷第3期
页 面:477-509页
核心收录:
学科分类:07[理学] 08[工学] 070104[理学-应用数学] 0701[理学-数学] 080102[工学-固体力学] 0801[工学-力学(可授工学、理学学位)]
基 金:supported by a grant from IPM partially carried out in IPM-Isfahan branch supported by a research grant from IPM
主 题:Jordan tori extended aftlne Lie algebra invariant affine reflectionalgebra
摘 要: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.