Closures of -orbits in the flag variety for

Author:
William M. McGovern

Journal:
Represent. Theory **15** (2011), 568-573

MSC (2010):
Primary 22E47, 57S25

Published electronically:
July 12, 2011

MathSciNet review:
2833467

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Abstract | References | Similar Articles | Additional Information

Abstract: We characterize the -orbits in the flag variety for with rationally smooth closure via a pattern avoidance criterion, also showing that the singular and rationally singular loci of such orbit closures coincide.

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Additional Information

**William M. McGovern**

Affiliation:
Department of Mathematics, University of Washington, Seattle, Washington 98195-0001

Email:
mcgovern@math.washington.edu

DOI:
https://doi.org/10.1090/S1088-4165-2011-00386-1

Keywords:
Flag variety,
pattern avoidance,
rational smoothness

Received by editor(s):
January 28, 2010

Received by editor(s) in revised form:
April 13, 2010, and May 26, 2010

Published electronically:
July 12, 2011

Article copyright:
© Copyright 2011
American Mathematical Society

The copyright for this article reverts to public domain 28 years after publication.