Dense orbits in orbital varieties

Anna Melnikov

Dense orbits in orbital varieties

Research output: Chapter in Book/Report/Conference proceeding › Conference contribution › peer-review

Abstract

Let O be a nilpotent orbit in the Lie algebra sl_n(C) and let V be an orbital variety contained in O. Let P be the largest parabolic subgroup of SL(n,C) stabilizing V. We describe nilpotent orbits such that all the orbital varieties in them have a dense P orbit and show that for n big enough the majority of nilpotent orbits do not fulﬁll this.

Original language	English
Title of host publication	Séminaires et Congrès
Editors	J. Alev, G. Cauchon
Publisher	Societe Mathematique de France
Pages	281-294
Number of pages	14
Volume	2
ISBN (Print)	2-85629-052-3
State	Published - 1997
Externally published	Yes

Cite this

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title = "Dense orbits in orbital varieties",

abstract = "Let O be a nilpotent orbit in the Lie algebra sln(C) and let V be an orbital variety contained in O. Let P be the largest parabolic subgroup of SL(n,C) stabilizing V. We describe nilpotent orbits such that all the orbital varieties in them have a dense P orbit and show that for n big enough the majority of nilpotent orbits do not fulﬁll this.",

author = "Anna Melnikov",

year = "1997",

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AU - Melnikov, Anna

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N2 - Let O be a nilpotent orbit in the Lie algebra sln(C) and let V be an orbital variety contained in O. Let P be the largest parabolic subgroup of SL(n,C) stabilizing V. We describe nilpotent orbits such that all the orbital varieties in them have a dense P orbit and show that for n big enough the majority of nilpotent orbits do not fulﬁll this.

AB - Let O be a nilpotent orbit in the Lie algebra sln(C) and let V be an orbital variety contained in O. Let P be the largest parabolic subgroup of SL(n,C) stabilizing V. We describe nilpotent orbits such that all the orbital varieties in them have a dense P orbit and show that for n big enough the majority of nilpotent orbits do not fulﬁll this.

UR - https://smf.emath.fr/publications/dense-orbits-orbital-varieties-sln

M3 - Conference contribution

SN - 2-85629-052-3

VL - 2

SP - 281

EP - 294

BT - Séminaires et Congrès

A2 - Alev, J.

A2 - Cauchon, G.

PB - Societe Mathematique de France

ER -

Dense orbits in orbital varieties

Abstract

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