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Nilpotent subalgebras of semisimple Lie algebras

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Nilpotent subalgebras of semisimple Lie algebras. / Levy, Paul; McNinch, George; Testerman, Donna.
In: Comptes Rendus Mathématique, Vol. 347, No. 9-10, 05.2009, p. 477-482.

Research output: Contribution to Journal/MagazineJournal articlepeer-review

Harvard

Levy, P, McNinch, G & Testerman, D 2009, 'Nilpotent subalgebras of semisimple Lie algebras', Comptes Rendus Mathématique, vol. 347, no. 9-10, pp. 477-482.

APA

Levy, P., McNinch, G., & Testerman, D. (2009). Nilpotent subalgebras of semisimple Lie algebras. Comptes Rendus Mathématique, 347(9-10), 477-482.

Vancouver

Levy P, McNinch G, Testerman D. Nilpotent subalgebras of semisimple Lie algebras. Comptes Rendus Mathématique. 2009 May;347(9-10):477-482.

Author

Levy, Paul ; McNinch, George ; Testerman, Donna. / Nilpotent subalgebras of semisimple Lie algebras. In: Comptes Rendus Mathématique. 2009 ; Vol. 347, No. 9-10. pp. 477-482.

Bibtex

@article{7f5eb351d1eb4ff78da319de3ec6f735,
title = "Nilpotent subalgebras of semisimple Lie algebras",
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.",
author = "Paul Levy and George McNinch and Donna Testerman",
year = "2009",
month = may,
language = "English",
volume = "347",
pages = "477--482",
journal = "Comptes Rendus Math{\'e}matique",
publisher = "Elsevier Masson",
number = "9-10",

}

RIS

TY - JOUR

T1 - Nilpotent subalgebras of semisimple Lie algebras

AU - Levy, Paul

AU - McNinch, George

AU - Testerman, Donna

PY - 2009/5

Y1 - 2009/5

N2 - 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.

AB - 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.

M3 - Journal article

VL - 347

SP - 477

EP - 482

JO - Comptes Rendus Mathématique

JF - Comptes Rendus Mathématique

IS - 9-10

ER -