Low dimension Lie algebra dimension reduction by modding by the center.

Authors

Firas Hindeleh, Grand Valley State UniversityFollow
K. Sharp
N. Benthem

Department

Mathematics Department

College

College of Liberal Arts and Sciences

Date Range

2012-2013

Disciplines

Physical Sciences and Mathematics

Abstract

We investigate reducing the order of real low dimensional Lie algebras by modding by the center. We find the isomorphism between the reduced algebra and one of the non-decomposable Lie algebras and explain why in certain cases the reduced algebra decomposes.

Conference Name

Joint Mathematics Meetings

Conference Location

San Diego, CA

ScholarWorks Citation

Hindeleh, Firas; Sharp, K.; and Benthem, N., "Low dimension Lie algebra dimension reduction by modding by the center." (2013). Faculty Scholarly Dissemination Grants. 1184.
https://scholarworks.gvsu.edu/fsdg/1184