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Nilpotent subalgebras of semisimple Lie algebras

Levy, Paul and McNinch, George and Testerman, Donna (2009) Nilpotent subalgebras of semisimple Lie algebras. Comptes Rendus Mathematique, 347 (9-10). pp. 477-482.

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Abstract

Let g be the Lie algebra of a semisimple linear algebraic group. Under mild conditions on the characteristic of the underlying field, one can show that any subalgebra of g consisting of nilpotent elements is contained in some Borel subalgebra. In this Note, we provide examples for each semisimple group G and for each of the torsion primes for G of nil subalgebras not lying in any Borel subalgebra of g.

Item Type: Article
Journal or Publication Title: Comptes Rendus Mathematique
Subjects:
Departments: Faculty of Science and Technology > Mathematics and Statistics
ID Code: 51961
Deposited By: ep_importer_pure
Deposited On: 09 Dec 2011 14:03
Refereed?: Yes
Published?: Published
Last Modified: 09 Apr 2014 22:56
Identification Number:
URI: http://eprints.lancs.ac.uk/id/eprint/51961

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