ALMOST ABELIAN LIE GROUPS, SUBGROUPS AND QUOTIENTS

• Published in: Journal of mathematical sciences (New York, N.Y.) Vol. 266; no. 1; pp. 42 - 65
• Main Authors: Rios, Marcelo Almora, Avetisyan, Zhirayr, Berlow, Katalin, Martin, Isaac, Rakholia, Gautam, Yang, Kelley, Zhang, Hanwen, Zhao, Zishuo
• Format: Journal Article
• Language: English
• Published: Cham Springer International Publishing 01.09.2022; Springer Nature B.V
• Subjects: Anisotropic media; Automorphisms; Cosmology; Crystallography; Differential geometry; Lie groups; Mathematics; Mathematics and Statistics; Matrix representation; Quotients; Subgroups; Theoretical physics

An almost Abelian Lie group is a non-Abelian Lie group with a codimension 1 Abelian normal subgroup. The majority of 3-dimensional real Lie groups are almost Abelian, and they appear in all parts of physics that deal with anisotropic media—cosmology, crystallography etc. In theoretical physics and d...