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math.CO2019
clan combinatorics for the orthogonal Grassmannian
Aram Bingham, Özlem Uğurlu
Borel subgroup orbits of the classical symmetric space are parametrized by -clans. We group the clans into "sects" corresponding to Schubert cells of t…
math.CO2019
Sects and lattice paths over the Lagrangian Grassmannian
Aram Bingham, Ozlem Ugurlu
We examine Borel subgroup orbits in the classical symmetric space of type CI, which are parametrized by skew symmetric (n, n)-clans. We describe bijections between such clans, cert…