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Commuting varieties of Lie algebras over fields of prime characteristic

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Commuting varieties of Lie algebras over fields of prime characteristic. / Levy, Paul.
In: Journal of Algebra, Vol. 250, No. 2, 15.04.2002, p. 473-484.

Research output: Contribution to Journal/MagazineJournal articlepeer-review

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Levy P. Commuting varieties of Lie algebras over fields of prime characteristic. Journal of Algebra. 2002 Apr 15;250(2):473-484. doi: 10.1006/jabr.2001.9083

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Levy, Paul. / Commuting varieties of Lie algebras over fields of prime characteristic. In: Journal of Algebra. 2002 ; Vol. 250, No. 2. pp. 473-484.

Bibtex

@article{b40444a43f17463b9385341417481710,
title = "Commuting varieties of Lie algebras over fields of prime characteristic",
abstract = "Let K be an algebraically closed field of positive characteristic and let G be a reductive group over K with Lie algebra g. This paper will show that under certain mild assumptions on G, the commuting variety C(g) is an irreducible algebraic variety.",
author = "Paul Levy",
year = "2002",
month = apr,
day = "15",
doi = "10.1006/jabr.2001.9083",
language = "English",
volume = "250",
pages = "473--484",
journal = "Journal of Algebra",
issn = "0021-8693",
publisher = "ELSEVIER ACADEMIC PRESS INC",
number = "2",

}

RIS

TY - JOUR

T1 - Commuting varieties of Lie algebras over fields of prime characteristic

AU - Levy, Paul

PY - 2002/4/15

Y1 - 2002/4/15

N2 - Let K be an algebraically closed field of positive characteristic and let G be a reductive group over K with Lie algebra g. This paper will show that under certain mild assumptions on G, the commuting variety C(g) is an irreducible algebraic variety.

AB - Let K be an algebraically closed field of positive characteristic and let G be a reductive group over K with Lie algebra g. This paper will show that under certain mild assumptions on G, the commuting variety C(g) is an irreducible algebraic variety.

U2 - 10.1006/jabr.2001.9083

DO - 10.1006/jabr.2001.9083

M3 - Journal article

VL - 250

SP - 473

EP - 484

JO - Journal of Algebra

JF - Journal of Algebra

SN - 0021-8693

IS - 2

ER -