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Automorphisms of real Lie algebras of dimension five or less
- Source :
- 2013 J. Phys. A: Math. Theor. 46 225204
- Publication Year :
- 2013
-
Abstract
- The Lie algebra version of the Krull-Schmidt 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 finite-dimensional Lie algebras, there is a well-known 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.<br />Comment: (Published version: references corrected)
- Subjects :
- Mathematics - Rings and Algebras
Mathematical Physics
17B40, 22E15, 22E40
Subjects
Details
- Database :
- arXiv
- Journal :
- 2013 J. Phys. A: Math. Theor. 46 225204
- Publication Type :
- Report
- Accession number :
- edsarx.1303.3376
- Document Type :
- Working Paper
- Full Text :
- https://doi.org/10.1088/1751-8113/46/22/225204