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On spherical ideals of Borel subalgebras
Authors:Dmitri Panyushev  Gerhard Röhrle
Affiliation:(1) Independent University of Moscow, Bol"rsquo"shoi Vlasevskii per. 11, Moscow, 121002, Russia;(2) School of Mathematics and Statistics, The University of Birmingham, Birmingham, B15 2TT, United Kingdom
Abstract:The goal of this paper is to extend some previous results on abelian ideals of Borel subalgebras to so-called spherical ideals of${frak b}.$
These are ideals${frak c}$
of${frak b}$
such that their G-saturation$G cdot {frak c}$
is a spherical G-variety. We classify all maximal spherical ideals of${frak b}$
for all simple G.Received: 25 March 2004
Keywords:Primary 14L30  17B45  Secondary 14M17  20G15
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