Files and links (1)
SubmittedOpen Access (License Unspecified), Open
Journal article
RELATIONS AMONG LOW-DIMENSIONAL SIMPLE LIE GROUPS
Journal of geometry and symmetry in physics, v 28
01 Jan 2012
Featured in Collection : UN Sustainable Development Goals @ Drexel
Abstract
The compact classical Lie groups can be regarded as groups of n x n matrices over the real, complex, and quaternion fields R, C, and Q that satisfy metric- and volume-conserving conditions. These groups, SO(n, R), SU(n, C), and Sp(n, Q), are not all independent. Homomorphisms exist among some of these groups for small dimension. We review these relations by describing the Lie algebras of the compact forms and their complex extensions. Other noncompact real forms of these Lie algebras are constructed by systematic methods. The relations among all distinct real forms is presented.
Metrics
Details
- Title
- RELATIONS AMONG LOW-DIMENSIONAL SIMPLE LIE GROUPS
- Creators
- Robert Gilmore - Drexel Univ, Phys Dept, Philadelphia, PA 19104 USA
- Publication Details
- Journal of geometry and symmetry in physics, v 28
- Publisher
- Inst Biophysics & Biomedical Engineering, Bulgarian Acad Sciences
- Number of pages
- 45
- Grant note
- PHY-0754081 / National Science Foundation; National Science Foundation (NSF)
- Resource Type
- Journal article
- Language
- English
- Academic Unit
- [Retired Faculty]
- Web of Science ID
- WOS:000436564300001
- Scopus ID
- 2-s2.0-84874058064
- Other Identifier
- 991019167851204721
UN Sustainable Development Goals (SDGs)
This publication has contributed to the advancement of the following goals:
InCites Highlights
Data related to this publication, from InCites Benchmarking & Analytics tool:
- Web of Science research areas
- Physics, Mathematical