English

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

Representation Theory 2020-10-23 v4 Combinatorics

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.

Keywords

Cite

@article{arxiv.1107.0284,
  title  = {Closures of K-orbits in the flag variety for GL(2n)},
  author = {William M. McGovern},
  journal= {arXiv preprint arXiv:1107.0284},
  year   = {2020}
}

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5 pages