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The Nullcone of the Lie algebra of $G_2$

Hesselink, W. H., 1-Mar-2019, (Accepted/In press) In : Indagationes mathematicae-New series.

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  • The Nullcone of the Lie Algebra ofG2

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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.
Original languageEnglish
JournalIndagationes mathematicae-New series
Publication statusAccepted/In press - 1-Mar-2019

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