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Gradings of positive rank on simple Lie algebras

Research output: Contribution to Journal/Magazine › Journal article › peer-review

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Gradings of positive rank on simple Lie algebras. / Reeder, Mark; Levy, Paul; Yu, Jiu-Kang et al.
In: Transformation Groups, Vol. 17, No. 4, 12.2012, p. 1123-1190.

Research output: Contribution to Journal/Magazine › Journal article › peer-review

Harvard

Reeder, M, Levy, P, Yu, J-K & Gross, B 2012, 'Gradings of positive rank on simple Lie algebras', Transformation Groups, vol. 17, no. 4, pp. 1123-1190. https://doi.org/10.1007/s00031-012-9196-3

APA

Reeder, M., Levy, P., Yu, J-K., & Gross, B. (2012). Gradings of positive rank on simple Lie algebras. Transformation Groups, 17(4), 1123-1190. https://doi.org/10.1007/s00031-012-9196-3

Vancouver

Reeder M, Levy P, Yu J-K, Gross B. Gradings of positive rank on simple Lie algebras. Transformation Groups. 2012 Dec;17(4):1123-1190. Epub 2012 Aug 9. doi: 10.1007/s00031-012-9196-3

Author

Reeder, Mark ; Levy, Paul ; Yu, Jiu-Kang et al. / Gradings of positive rank on simple Lie algebras. In: Transformation Groups. 2012 ; Vol. 17, No. 4. pp. 1123-1190.

Bibtex

@article{114f06f03174477e9f6caadfc9248dcd,
title = "Gradings of positive rank on simple Lie algebras",
abstract = "We complete the classication of positive rank gradings on Lie algebras ofsimple algebraic groups over an algebraically closed eld k whose characteristic is zero or not too small, and we determine the little Weyl groups in each case. We also classify the stable gradings and prove Popov's conjecture on the existence of a Kostant section.",
author = "Mark Reeder and Paul Levy and Jiu-Kang Yu and Benedict Gross",
note = "The final publication is available at link.springer.com",
year = "2012",
month = dec,
doi = "10.1007/s00031-012-9196-3",
language = "English",
volume = "17",
pages = "1123--1190",
journal = "Transformation Groups",
issn = "1531-586X",
publisher = "Birkhause Boston",
number = "4",

}

RIS

TY - JOUR

T1 - Gradings of positive rank on simple Lie algebras

AU - Reeder, Mark

AU - Levy, Paul

AU - Yu, Jiu-Kang

AU - Gross, Benedict

N1 - The final publication is available at link.springer.com

PY - 2012/12

Y1 - 2012/12

N2 - We complete the classication of positive rank gradings on Lie algebras ofsimple algebraic groups over an algebraically closed eld k whose characteristic is zero or not too small, and we determine the little Weyl groups in each case. We also classify the stable gradings and prove Popov's conjecture on the existence of a Kostant section.

AB - We complete the classication of positive rank gradings on Lie algebras ofsimple algebraic groups over an algebraically closed eld k whose characteristic is zero or not too small, and we determine the little Weyl groups in each case. We also classify the stable gradings and prove Popov's conjecture on the existence of a Kostant section.

U2 - 10.1007/s00031-012-9196-3

DO - 10.1007/s00031-012-9196-3

M3 - Journal article

VL - 17

SP - 1123

EP - 1190

JO - Transformation Groups

JF - Transformation Groups

SN - 1531-586X

IS - 4

ER -