Publication

The Nullcone of the Lie algebra of $G_2$

Hesselink, W. H., Jul-2019, In : Indagationes mathematicae-New series. 30, 4, p. 623-648 26 p.

Research output: Contribution to journalArticleAcademicpeer-review

APA

Hesselink, W. H. (2019). The Nullcone of the Lie algebra of $G_2$. Indagationes mathematicae-New series, 30(4), 623-648. https://doi.org/10.1016/j.indag.2019.03.001

Author

Hesselink, Wim H. / The Nullcone of the Lie algebra of $G_2$. In: Indagationes mathematicae-New series. 2019 ; Vol. 30, No. 4. pp. 623-648.

Harvard

Hesselink, WH 2019, 'The Nullcone of the Lie algebra of $G_2$', Indagationes mathematicae-New series, vol. 30, no. 4, pp. 623-648. https://doi.org/10.1016/j.indag.2019.03.001

Standard

The Nullcone of the Lie algebra of $G_2$. / Hesselink, Wim H.

In: Indagationes mathematicae-New series, Vol. 30, No. 4, 07.2019, p. 623-648.

Research output: Contribution to journalArticleAcademicpeer-review

Vancouver

Hesselink WH. The Nullcone of the Lie algebra of $G_2$. Indagationes mathematicae-New series. 2019 Jul;30(4):623-648. https://doi.org/10.1016/j.indag.2019.03.001


BibTeX

@article{f0dd14eb76964c48af76b8be94424eda,
title = "The Nullcone of the Lie algebra of $G_2$",
abstract = "This paper investigates the nilpotent conjugacy classes of the Lie algebra of the simple algebraic group of type G(2). These classes are determined by first finding the stratification, and then finding the classes within the strata. Except for characteristic 3, the classes coincide with the strata. In characteristic 3, one stratum splits into two orbits. If the characteristic differs from 2 and 3, the classes are determined by the singularities of the nilpotent variety. In characteristic 3, the matter is undecided yet. In characteristic 2, different classes have the same singularities. (C) 2019 Royal Dutch Mathematical Society (KWG). Published by Elsevier B.V. All rights reserved.",
keywords = "STRATIFICATION, INSTABILITY",
author = "Hesselink, {Wim H.}",
year = "2019",
month = "7",
doi = "10.1016/j.indag.2019.03.001",
language = "English",
volume = "30",
pages = "623--648",
journal = "Indagationes mathematicae-New series",
issn = "0019-3577",
publisher = "ELSEVIER SCIENCE BV",
number = "4",

}

RIS

TY - JOUR

T1 - The Nullcone of the Lie algebra of $G_2$

AU - Hesselink, Wim H.

PY - 2019/7

Y1 - 2019/7

N2 - This paper investigates the nilpotent conjugacy classes of the Lie algebra of the simple algebraic group of type G(2). These classes are determined by first finding the stratification, and then finding the classes within the strata. Except for characteristic 3, the classes coincide with the strata. In characteristic 3, one stratum splits into two orbits. If the characteristic differs from 2 and 3, the classes are determined by the singularities of the nilpotent variety. In characteristic 3, the matter is undecided yet. In characteristic 2, different classes have the same singularities. (C) 2019 Royal Dutch Mathematical Society (KWG). Published by Elsevier B.V. All rights reserved.

AB - This paper investigates the nilpotent conjugacy classes of the Lie algebra of the simple algebraic group of type G(2). These classes are determined by first finding the stratification, and then finding the classes within the strata. Except for characteristic 3, the classes coincide with the strata. In characteristic 3, one stratum splits into two orbits. If the characteristic differs from 2 and 3, the classes are determined by the singularities of the nilpotent variety. In characteristic 3, the matter is undecided yet. In characteristic 2, different classes have the same singularities. (C) 2019 Royal Dutch Mathematical Society (KWG). Published by Elsevier B.V. All rights reserved.

KW - STRATIFICATION

KW - INSTABILITY

U2 - 10.1016/j.indag.2019.03.001

DO - 10.1016/j.indag.2019.03.001

M3 - Article

VL - 30

SP - 623

EP - 648

JO - Indagationes mathematicae-New series

JF - Indagationes mathematicae-New series

SN - 0019-3577

IS - 4

ER -

ID: 76913587