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

2011/07/01 by McGovern, William M.
#22E47 #Combinatorics (math.CO) #FOS: Mathematics #Representation Theory (math.RT)

paper · doi:10.48550/arxiv.1107.0284

Abstract

We characterize the O_2n orbits in the flag variety for GL_2n with rationally smooth closure via a graph-theoretic criterion. We also give a necessary pattern avoidance criterion for rational smoothness and conjecture its sufficiency.

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