Sects and lattice paths over the Lagrangian Grassmannian
A Bingham, O Ugurlu - arXiv preprint arXiv:1903.07229, 2019 - arxiv.org
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 …
parametrized by skew symmetric (n, n)-clans. We describe bijections between such clans …
Lexicographic shellability of sects
A Bingham, ND Morera - arXiv preprint arXiv:2312.15093, 2023 - arxiv.org
In this paper, we show that the Bruhat order on the sects of the symmetric space of type $ AIII
$ are lexicographically shellable. Our proof proceeds from a description of these posets as …
$ are lexicographically shellable. Our proof proceeds from a description of these posets as …
Clans, Sects, and Symmetric Spaces of Hermitian Type
A Bingham - 2021 - search.proquest.com
This thesis examines the geometry and combinatorics of Borel subgroup orbits in classical
symmetric spaces G/L where G is complex linear algebraic group and L is a Levi factor of a …
symmetric spaces G/L where G is complex linear algebraic group and L is a Levi factor of a …
$ DIII $ clan combinatorics for the orthogonal Grassmannian
A Bingham, Ö Uğurlu - arXiv preprint arXiv:1907.08875, 2019 - arxiv.org
Borel subgroup orbits of the classical symmetric space $ SO_ {2n}/GL_n $ are parametrized
by $ DIII $$(n, n) $-clans. We group the clans into" sects" corresponding to Schubert cells of …
by $ DIII $$(n, n) $-clans. We group the clans into" sects" corresponding to Schubert cells of …
[PDF][PDF] Sects, rooks, pyramids, partitions and paths for type DIII clans
AB andOzlem Ugurlu - arXiv preprint arXiv:1907.08875, 2019 - plouffe.fr
Borel subgroup orbits of the classical symmetric space SO2n/GLn are parametrized by (n, n)-
clans of type DIII. We describe explicit bijections between such clans, diagonally symmetric …
clans of type DIII. We describe explicit bijections between such clans, diagonally symmetric …