Classification of admissible nilpotent orbits in simple exceptional real lie algebras of inner type

Alfred G. Noël

doi:10.1090/S1088-4165-01-00141-8

Classification of admissible nilpotent orbits in simple exceptional real lie algebras of inner type

Alfred G. Noël

Mathematics

Research output: Contribution to journal › Article › peer-review

Abstract

In this paper we give a classification of admissible nilpotent orbits of the noncompact simple exceptional real Lie groups of inner type. We use a lemma of Takuya Ohta and some information from the work of Dragomir Djoković to construct a simple algorithm which allows us to decide the admissiblity of a given orbit.

Original language	English
Pages (from-to)	455-493
Number of pages	39
Journal	Representation Theory
Volume	5
Issue number	16
DOIs	https://doi.org/10.1090/S1088-4165-01-00141-8
State	Published - Nov 9 2001

ASJC Scopus Subject Areas

Mathematics (miscellaneous)

Keywords

Admissible
Nilpotent orbits
Reductive Lie algebras

Access to Document

10.1090/S1088-4165-01-00141-8

Cite this

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title = "Classification of admissible nilpotent orbits in simple exceptional real lie algebras of inner type",

abstract = "In this paper we give a classification of admissible nilpotent orbits of the noncompact simple exceptional real Lie groups of inner type. We use a lemma of Takuya Ohta and some information from the work of Dragomir Djokovi{\'c} to construct a simple algorithm which allows us to decide the admissiblity of a given orbit.",

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AU - Noël, Alfred G.

PY - 2001/11/9

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N2 - In this paper we give a classification of admissible nilpotent orbits of the noncompact simple exceptional real Lie groups of inner type. We use a lemma of Takuya Ohta and some information from the work of Dragomir Djoković to construct a simple algorithm which allows us to decide the admissiblity of a given orbit.

AB - In this paper we give a classification of admissible nilpotent orbits of the noncompact simple exceptional real Lie groups of inner type. We use a lemma of Takuya Ohta and some information from the work of Dragomir Djoković to construct a simple algorithm which allows us to decide the admissiblity of a given orbit.

KW - Admissible

KW - Nilpotent orbits

KW - Reductive Lie algebras

UR - https://www.scopus.com/pages/publications/85009782266

UR - https://www.scopus.com/pages/publications/85009782266#tab=citedBy

U2 - 10.1090/S1088-4165-01-00141-8

DO - 10.1090/S1088-4165-01-00141-8

M3 - Article

AN - SCOPUS:85009782266

SN - 1088-4165

VL - 5

SP - 455

EP - 493

JO - Representation Theory

JF - Representation Theory

IS - 16

ER -

Classification of admissible nilpotent orbits in simple exceptional real lie algebras of inner type

Abstract

ASJC Scopus Subject Areas

Keywords

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