Equivalence classes of ideals in the nilradical of a Borel subalgebra
Publication Date
2006
Journal or Book Title
NAGOYA MATHEMATICAL JOURNAL
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.
Pages
161-185
Volume
183
Recommended Citation
Sommers, E, "Equivalence classes of ideals in the nilradical of a Borel subalgebra" (2006). NAGOYA MATHEMATICAL JOURNAL. 784.
Retrieved from https://scholarworks.umass.edu/math_faculty_pubs/784
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Comments
The published version is located at http://projecteuclid.org/DPubS?service=UI&version=1.0&verb=Display&handle=euclid.nmj/1157490983