Dual pairs and Kostant-Sekiguchi correspondence. II. Classification of nilpotent elements

Andrzej Daszkiewicz; Witold Kraśkiewicz; Tomasz Przebinda

Displaying similar documents to “Dual pairs and Kostant-Sekiguchi correspondence. II. Classification of nilpotent elements”

Series of nilpotent orbits.

Landsberg, J.M., Manivel, Laurent, Westbury, Bruce W. (2004)

Experimental Mathematics

Similarity:

The index of centralizers of elements of reductive Lie algebras.

Charbonnel, Jean-Yves, Moreau, Anne (2010)

Documenta Mathematica

Similarity:

On spherical nilpotent orbits and beyond

Dmitri I. Panyushev (1999)

Annales de l'institut Fourier

Similarity:

We continue investigations that are concerned with the complexity of nilpotent orbits in semisimple Lie algebras. We give a characterization of the spherical nilpotent orbits in terms of minimal Levi subalgebras intersecting them. This provides a kind of canonical form for such orbits. A description minimal non-spherical orbits in all simple Lie algebras is obtained. The theory developed for the adjoint representation is then extended to Vinberg’s $θ$ -groups. This yields a description...

The closure diagrams for nilpotent orbits of real forms of $F_{4}$ and $G_{2}$ .

Đoković, Dragomir Ž. (2000)

Journal of Lie Theory

Similarity:

Prehomogeneous spaces associated with nilpotent orbits in simple real Lie algebras $E_{6 (6)}$ and $E_{6 (- 26)}$ and their relative invariants.

Jackson, Steven Glenn, Noël, Alfred G. (2006)

Experimental Mathematics

Similarity:

The closure diagrams for nilpotent orbits of real forms of $E_{6}$ .

Đoković, Dragomir Ž. (2001)

Journal of Lie Theory

Similarity:

The closure diagram for nilpotent orbits of the split real form of E8

Dragomir Đoković (2003)

Open Mathematics

Similarity:

Let $𝒪_{1}$ and $𝒪_{2}$ be adjoint nilpotent orbits in a real semisimple Lie algebra. Write $𝒪_{1}$ ≥ $𝒪_{2}$ if $𝒪_{2}$ is contained in the closure of $𝒪_{1}$ . This defines a partial order on the set of such orbits, known as the closure ordering. We determine this order for the split real form of the simple complex Lie algebra, E 8. The proof is based on the fact that the Kostant-Sekiguchi correspondence preserves the closure ordering. We also present a comprehensive list of simple representatives of these orbits, and...

Corrections for “The closure diagram for nilpotent orbits of the split real form of E 8”

Dragomir Đoković (2005)

Open Mathematics

Similarity:

Local character expansions

Dan Barbasch, Allen Moy (1997)

Annales scientifiques de l'École Normale Supérieure

Similarity:

Nilpotent complex structures.

Luis A. Cordero, Marisa Fernández, Alfred Gray, Luis Ugarte (2001)

RACSAM

Similarity:

Este artículo presenta un panorama de algunos resultados recientes sobre estructuras complejas nilpotentes J definidas sobre nilvariedades compactas. Tratamos el problema de clasificación de nilvariedades compactas que admiten una tal J, el estudio de un modelo minimal de Dolbeault y su formalidad, y la construcción de estructuras complejas nilpotentes para las cuales la sucesión espectral de Frölicher no colapsa en el segundo término.

N-step nilpotent Lie groups with flat Kirillov orbits

Leonard F. Richardson (1987)

Colloquium Mathematicae

Similarity: