Closures of K-orbits in the flag variety for U(p,q)

2009/05/31 by William M. McGovern
Mathematics · #math.RT #msc:20G05

paper · pdf

published as J. Alg. 322 (2009), 2709--2712 · 4 pages

arxiv created 2012/01/17 · arxiv updated 2012/01/18

Abstract

We classify the GL_p x GL_q-orbits in the flag variety for GL_p+q with rationally smooth closure, showing that they are all either already closed or are pullbacks from orbits with smooth closure in a partial flag variety.

Cited by

• Pattern avoidance and smoothness of closures for orbits of a symmetric subgroup in the flag variety