Bruhat-Chevalley order on the rook monoid

zbMath1307.20059arXiv0803.0491MaRDI QIDQ4911384

Lex E. Renner, Mahir Bilen Can

Publication date: 14 March 2013

Full work available at URL: https://arxiv.org/abs/0803.0491

zbMATH Keywords

length functionsBruhat-Chevalley orderrook monoidsBorel orbitsDeodhar order

Mathematics Subject Classification ID

Algebraic systems of matrices (15A30) Algebraic aspects of posets (06A11) Algebraic monoids (20M32)

Related Items (12)

Asymptotic semigroups and two-sided weak orders ⋮ Lexicographic shellability of partial involutions ⋮ Omitting parentheses from the cyclic notation ⋮ Stirling posets ⋮ Conjugacy Decomposition of Canonical and Dual Canonical Monoids ⋮ On the Borel submonoid of a symplectic monoid ⋮ The Bruhat-Chevalley-Renner order on the set partitions ⋮ Bruhat order on partial fixed point free involutions. ⋮ A geometric interpretation of the intertwining number ⋮ Incidence monoids: automorphisms and complexity ⋮ The rook monoid is lexicographically shellable ⋮ Weak order on complete quadrics

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