Abstract
Let O be a nilpotent orbit in the Lie algebra sln(C) (that is, a class of nilpotent elements for conjugation bySLn(C).) Let V be an orbital variety contained in O andPbe the largest parabolic subgroup ofSLn(C) stabilizing V. The Smith conjecture asserts that V contains a densePorbit. This is shown to fail in general, and further those nilpotent orbits for which such a dense orbit exists are determined.
Original language | English |
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Pages (from-to) | 1-31 |
Number of pages | 31 |
Journal | Journal of Algebra |
Volume | 200 |
Issue number | 1 |
DOIs | |
State | Published - 1 Feb 1998 |
Externally published | Yes |
Bibliographical note
Funding Information:*This work was partially supported by the Wolf foundation. E-mail address: mtmelnik@ weizmann, weizmann.ac.il.
ASJC Scopus subject areas
- Algebra and Number Theory