The genesis of involutions (polarizations and lattice paths)

DOI10.1016/j.disc.2018.09.026zbMath1400.05276arXiv1703.09881OpenAlexW2604629977WikidataQ129091916 ScholiaQ129091916MaRDI QIDQ1618238

Özlem Uğurlu, Mahir Bilen Can

Publication date: 13 November 2018

Published in: Discrete Mathematics (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1703.09881

zbMATH Keywords

polarizationslattice pathssigned involutions\(t\)-analogsBorel group orbits

Mathematics Subject Classification ID

Related Items (5)

$DIII$ clan combinatorics for the orthogonal Grassmannian ⋮ Atoms for signed permutations ⋮ Sects ⋮ Sects and lattice paths over the Lagrangian Grassmannian ⋮ Counting Borel orbits in symmetric spaces of types BI and CII

Cites Work

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• The Bruhat order on clans
• Chains in weak order posets associated to involutions
• The Bruhat order on symmetric varieties
• The Bruhat order on the involutions of the symmetric group
• Algebraic groups with a commuting pair of involutions and semisimple symmetric spaces
• Counting Borel orbits in symmetric spaces of types BI and CII
• Lexicographic shellability of the Bruhat-Chevalley order on fixed-point-free involutions
• Combinatorics of Permutations
• Symmetry, Representations, and Invariants
• Lectures on the Geometry of Flag Varieties

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