Minimal representations of Lie algebras with non-trivial Levi decomposition

Minimal representations of Lie algebras with non-trivial Levi decomposition

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...

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Bibliographic Details
Main Authors: Ryad Ghanam, Manoj Lamichhane, Gerard Thompson
Format: Article
Language:English
Published: SpringerOpen 2017-08-01
Series:Arabian Journal of Mathematics
Subjects:
22E60
17B05
17B30
20G05
22E25
Online Access:http://link.springer.com/article/10.1007/s40065-017-0175-3

Internet

http://link.springer.com/article/10.1007/s40065-017-0175-3

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