Closures of 𝐾-orbits in the flag variety for 𝑆𝑈*(2𝑛)

McGovern, William

doi:10.1090/S1088-4165-2011-00386-1

Closures of $K$-orbits in the flag variety for $SU^*(2n)$
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by William M. McGovern

Represent. Theory 15 (2011), 568-573

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

Published electronically: July 12, 2011

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Abstract:

We characterize the $Sp_{2n}$-orbits in the flag variety for $SL_{2n}$ 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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