For enhanced groups from GL_n and module M, the nilpotent cone has finitely many orbits under uG-action precisely when M is 1-dimensional, natural, dual (n>2), or small irreducible for n=2; orbits classified via enhanced partitions with closures via enhanced flag varieties.
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Determines conjugation classes and representatives for trigonalizable subalgebras related to Borel subalgebras in W(n), then studies their filtrations and dimensions.
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On enhanced reductive groups (II): Finiteness of nilpotent orbits under enhanced group action and their closures
For enhanced groups from GL_n and module M, the nilpotent cone has finitely many orbits under uG-action precisely when M is 1-dimensional, natural, dual (n>2), or small irreducible for n=2; orbits classified via enhanced partitions with closures via enhanced flag varieties.
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Borel subalgebras of Cartan Type Lie Algebras
Determines conjugation classes and representatives for trigonalizable subalgebras related to Borel subalgebras in W(n), then studies their filtrations and dimensions.