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On the Hypersurface Orbital Varieties of sl(N, C)

✍ Scribed by Elise Benlolo; Yasmine B. Sanderson

Publisher
Elsevier Science
Year
2001
Tongue
English
Weight
167 KB
Volume
245
Category
Article
ISSN
0021-8693

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✦ Synopsis

We study the structure of hypersurface orbital varieties of sl N, ‫ރ‬ those that . are hypersurfaces in the nilradical of some parabolic subalgebra and how information about this structure is encoded in the standard Young tableau associated to it by the Robinson᎐Schensted algorithm. We present a conjecture for the exact form of the unique non-linear defining equations of hypersurface orbital varieties and proofs of the conjecture in certain cases.

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