Congruence \(B\)-orbits and the Bruhat poset of involutions of the symmetric group
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Publication:409483
DOI10.1016/j.disc.2011.12.018zbMath1238.05272arXiv0912.1819OpenAlexW1991715202MaRDI QIDQ409483
Publication date: 13 April 2012
Published in: Discrete Mathematics (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/0912.1819
Related Items (14)
Inverse problems in free surface flows: a review ⋮ On the orbits of a Borel subgroup in abelian ideals ⋮ Combinatorics of \(B\)-orbits and Bruhat-Chevalley order on involutions. ⋮ Lexicographic shellability of partial involutions ⋮ Sects ⋮ Bruhat order on partial fixed point free involutions. ⋮ On Involutions in the Weyl Group and B-Orbit Closures in the Orthogonal Case ⋮ A geometric interpretation of the intertwining number ⋮ The Bruhat-Chevalley order on involutions of the hyperoctahedral group and the combinatorics of \(B\)-orbit closures. ⋮ Sects and lattice paths over the Lagrangian Grassmannian ⋮ Universal graph Schubert varieties ⋮ \(K\)-theory formulas for orthogonal and symplectic orbit closures ⋮ Weak order on complete quadrics ⋮ Lexicographic shellability of the Bruhat-Chevalley order on fixed-point-free involutions
Cites Work
- Description of \(\mathbf B\)-orbit closures of order 2 in upper-triangular matrices
- Analogue of the Bruhat decomposition for algebraic monoids
- The Bruhat order on the involutions of the symmetric group
- Linear algebraic monoids.
- Combinatorics of Coxeter Groups
- ON INVOLUTIONS OF THE SYMMETRIC GROUP AND CONGRUENCE B-ORBITS OF ANTI-SYMMETRIC MATRICES
- Equivalence and congruence of matrices under the action of standard parabolic subgroups
- Unnamed Item
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