$DIII$ clan combinatorics for the orthogonal Grassmannian
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Publication:4990105
zbMath1477.14080arXiv1907.08875MaRDI QIDQ4990105
Publication date: 28 May 2021
Full work available at URL: https://arxiv.org/abs/1907.08875
Grassmannians, Schubert varieties, flag manifolds (14M15) Combinatorial aspects of algebraic geometry (05E14)
Uses Software
Cites Work
- \(K\)-orbit closures on \(G/B\) as universal degeneracy loci for flagged vector bundles splitting as direct sums
- Bruhat order on partial fixed point free involutions.
- Chains in weak order posets associated to involutions
- The Bruhat order on symmetric varieties
- Pattern avoidance and smoothness of closures for orbits of a symmetric subgroup in the flag variety
- Singular loci of Schubert varieties
- The genesis of involutions (polarizations and lattice paths)
- Involution words: counting problems and connections to Schubert calculus for symmetric orbit closures
- \(K\)-orbits on \(G/B\) and Schubert constants for pairs of signed shuffles in types \(C\) and \(D\)
- Where the typical set partitions meet and join
- Sects
- The Bruhat order on Hermitian symmetric varieties and on abelian nilradicals
- Sects and lattice paths over the Lagrangian Grassmannian
- Involution words. II: Braid relations and atomic structures
- Schubert calculus of richardson varieties stable under spherical Levi subgroups
- ON INVOLUTIONS OF THE SYMMETRIC GROUP AND CONGRUENCE B-ORBITS OF ANTI-SYMMETRIC MATRICES
- Symmetry, Representations, and Invariants
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