Nilpotent subalgebras of semisimple Lie algebras

Levy, Paul and McNinch, George and Testerman, Donna (2009) Nilpotent subalgebras of semisimple Lie algebras. Comptes Rendus Mathématique, 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:
Journal Article
Journal or Publication Title:
Comptes Rendus Mathématique
Uncontrolled Keywords:
/dk/atira/pure/subjectarea/asjc/2600
Subjects:
ID Code:
51961
Deposited By:
Deposited On:
09 Dec 2011 14:03
Refereed?:
Yes
Published?:
Published
Last Modified:
30 Oct 2020 09:48