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Minimal representations of Lie algebras with non-trivial Levi decomposition.
- Source :
-
Arabian Journal of Mathematics . Dec2017, Vol. 6 Issue 4, p281-296. 16p. - Publication Year :
- 2017
-
Abstract
- We obtain minimal dimension matrix representations for each of the Lie algebras of dimensions five, six, seven and eight obtained by Turkowski that have a non-trivial Levi decomposition. The key technique involves using the invariant subspaces associated to a particular representation of a semi-simple Lie algebra to help in the construction of the radical in the putative Levi decomposition. [ABSTRACT FROM AUTHOR]
Details
- Language :
- English
- ISSN :
- 21935343
- Volume :
- 6
- Issue :
- 4
- Database :
- Academic Search Index
- Journal :
- Arabian Journal of Mathematics
- Publication Type :
- Academic Journal
- Accession number :
- 126137075
- Full Text :
- https://doi.org/10.1007/s40065-017-0175-3