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Equivalence Classes of Ideals in the Nilradical of a Borel Subalgebra
Published online by Cambridge University Press: 11 January 2016
Abstract
An equivalence relation is defined and studied on the set of B-stable ideals in the nilradical of the Lie algebra of a Borel subgroup B. Techniques are developed to compute the equivalence relation and these are carried out in the exceptional groups. There is a natural partial order on equivalence classes coming from inclusion of one ideal in another. A main theorem is that this partial order is a refinement of the closure ordering on nilpotent orbits.
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- Research Article
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- Copyright © Editorial Board of Nagoya Mathematical Journal 2006
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