Fisher, David J., Gray, Robert J., Hydon, Peter E. (2013) Automorphisms of real Lie algebras of dimension five or less. Journal of Physics A: Mathematical and Theoretical, 46 (225204). pp. 118. ISSN 17518113. EISSN 17518121. (doi:10.1088/17518113/46/22/225204) (KAR id:53692)
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Official URL http://iopscience.iop.org/article/10.1088/1751811... 
Abstract
The Lie algebra version of the KrullSchmidt Theorem is formulated and proved. This leads to a method for constructing the automorphisms of a direct sum of Lie algebras from the automorphisms of its indecomposable components. For finitedimensional Lie algebras, there is a wellknown algorithm for finding such components, so the theorem considerably simplifies the problem of classifying the automorphism groups. We illustrate this by classifying the automorphisms of all indecomposable real Lie algebras of dimension five or less. Our results are presented very concisely, in tabular form.
Item Type:  Article 

DOI/Identification number:  10.1088/17518113/46/22/225204 
Uncontrolled keywords:  Automorphisms, Lie algebras, KrullSchmidt Theorem 
Subjects: 
Q Science > QA Mathematics (inc Computing science) > QA252 Lie algebras Q Science > QA Mathematics (inc Computing science) > QA252 Lie algebras Q Science > QA Mathematics (inc Computing science) > QA387 Basic Lie theory 
Divisions:  Divisions > Division of Computing, Engineering and Mathematical Sciences > School of Mathematics, Statistics and Actuarial Science 
Depositing User:  Peter Hydon 
Date Deposited:  12 Jan 2016 14:55 UTC 
Last Modified:  16 Nov 2021 10:22 UTC 
Resource URI:  https://kar.kent.ac.uk/id/eprint/53692 (The current URI for this page, for reference purposes) 
Hydon, Peter E.:  https://orcid.org/0000000237324813 
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