Modules for order preserving symplectic and even special orthogonal rook monoids

DOI10.1007/S00233-017-9887-0zbMath1456.20071OpenAlexW2733934148MaRDI QIDQ722553

Jianqiang Feng, Ximei Bai, Ruipu Bai, Wen-li Liu

Publication date: 26 July 2018

Published in: Semigroup Forum (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s00233-017-9887-0

zbMATH Keywords

rook monoidirreducible moduleorder preserving monoidorthogonal rook monoidsymplectic rook monoid

Mathematics Subject Classification ID

Combinatorial aspects of representation theory (05E10) Semigroups of transformations, relations, partitions, etc. (20M20) Representation of semigroups; actions of semigroups on sets (20M30)

Cites Work

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• Idempotent lattices, Renner monoids and cross section lattices of the special orthogonal algebraic monoids.
• Representations of the \(q\)-rook monoid.
• Linear algebraic monoids.
• Representations of the rook monoid.
• The planar rook algebra and Pascal's triangle.
• Orders of the Renner monoids.
• Enumeration of symplectic and orthogonal injective partial transformations.
• RSK insertion for set partitions and diagram algebras
• THE RENNER MONOIDS AND CELL DECOMPOSITIONS OF THE SYMPLECTIC ALGEBRAIC MONOIDS
• REPRESENTATIONS OF THE SYMPLECTIC ROOK MONOID
• REPRESENTATIONS OF THE RENNER MONOID
• Algebraic Monoids and Renner Monoids
• A Specht module analog for the rook monoid

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