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arXiv · 1510.01900

The Bruhat order on clans

Benjamin J. Wyser
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Abstract

We give an explicit description of the closure containment order (or "Bruhat order") on the set of orbits of GL_p \times GL_q on the flag variety GL_{p+q}/B, relative to the parametrization of the orbits by combinatorial objects called "clans". This leads to a corresponding description of the closures of such orbits as sets of flags satisfying certain incidence conditions encoded by the parametrizing clans.

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Benjamin J. Wyser. 2015-10-08. The Bruhat order on clans. https://arxiv.org/abs/1510.01900

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