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2006 Equivalence classes of ideals in the nilradical of a Borel subalgebra
Eric N. Sommers
Nagoya Math. J. 183: 161-185 (2006).

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.

Citation

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Eric N. Sommers. "Equivalence classes of ideals in the nilradical of a Borel subalgebra." Nagoya Math. J. 183 161 - 185, 2006.

Information

Published: 2006
First available in Project Euclid: 5 September 2006

zbMATH: 1162.17008
MathSciNet: MR2253889

Subjects:
Primary: 17B20
Secondary: 20F55

Rights: Copyright © 2006 Editorial Board, Nagoya Mathematical Journal

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Vol.183 • 2006
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