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On spherical ideals of Borel subalgebras

On spherical ideals of Borel subalgebras
On spherical ideals of Borel subalgebras
The goal of this paper is to extend some previous results on abelian ideals of Borel subalgebras to so-called spherical ideals of These are ideals of such that their G-saturation is a spherical G-variety. We classify all maximal spherical ideals of for all simple G.
Borel subalgebras, spherical varieties, spherical ideals
0003-889X
225-232
Panyushev, Dmitri
ba046597-aeee-4eb1-8099-49df222362da
Roehrle, Gerhard
85f9d4eb-d522-4a95-bde9-300e8e3e7886
Panyushev, Dmitri
ba046597-aeee-4eb1-8099-49df222362da
Roehrle, Gerhard
85f9d4eb-d522-4a95-bde9-300e8e3e7886

Panyushev, Dmitri and Roehrle, Gerhard (2005) On spherical ideals of Borel subalgebras. Archiv der Mathematik, 84 (3), 225-232. (doi:10.1007/s00013-004-1092-1).

Record type: Article

Abstract

The goal of this paper is to extend some previous results on abelian ideals of Borel subalgebras to so-called spherical ideals of These are ideals of such that their G-saturation is a spherical G-variety. We classify all maximal spherical ideals of for all simple G.

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More information

Submitted date: March 2004
Published date: March 2005
Keywords: Borel subalgebras, spherical varieties, spherical ideals

Identifiers

Local EPrints ID: 38466
URI: http://eprints.soton.ac.uk/id/eprint/38466
ISSN: 0003-889X
PURE UUID: 08f0f772-11c2-48f6-8989-bcf904cbbc49

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Date deposited: 09 Jun 2006
Last modified: 15 Mar 2024 08:08

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Author: Dmitri Panyushev
Author: Gerhard Roehrle

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