Orbital Varieties in slNand the Smith Conjecture

Anna Melnikov

doi:10.1006/jabr.1997.7196

Orbital Varieties in sl_Nand the Smith Conjecture

Research output: Contribution to journal › Article › peer-review

Abstract

Let O be a nilpotent orbit in the Lie algebra sl_n(C) (that is, a class of nilpotent elements for conjugation bySL_n(C).) Let V be an orbital variety contained in O andPbe the largest parabolic subgroup ofSL_n(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
Pages (from-to)	1-31
Number of pages	31
Journal	Journal of Algebra
Volume	200
Issue number	1
DOIs	https://doi.org/10.1006/jabr.1997.7196
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

Access to Document

10.1006/jabr.1997.7196

Cite this

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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.",

author = "Anna Melnikov",

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