Representation theory of \(q\)-rook monoid algebras.

DOI10.1007/s10801-006-0010-yzbMath1137.20004OpenAlexW1998370058MaRDI QIDQ2509191

Rowena Paget

Publication date: 18 October 2006

Published in: Journal of Algebraic Combinatorics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s10801-006-0010-y

zbMATH Keywords

representationscellular algebrasIwahori-Hecke algebrasrook monoids

Mathematics Subject Classification ID

Combinatorial aspects of representation theory (05E10) Hecke algebras and their representations (20C08) Representations of finite symmetric groups (20C30) Representation of semigroups; actions of semigroups on sets (20M30)

Related Items (4)

Presentations for rook partition monoids and algebras and their singular ideals ⋮ Cellular structures using \(U_q\)-tilting modules ⋮ Combinatorial Gelfand models for semisimple diagram algebras. ⋮ THE ANNIHILATOR OF TENSOR SPACE IN THE -ROOK MONOID ALGEBRA

Cites Work

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• The Iwahori algebra of \(\mathbf M_n(\mathbf F_q)\). A presentation and a representation on tensor space.
• Representations of the \(q\)-rook monoid.
• \(q\)-rook monoid algebras, Hecke algebras, and Schur-Weyl duality.
• Representations of the rook monoid.
• Character formulas for \(q\)-rook monoid algebras
• Cellular algebras
• Cellular algebras and inverse semigroups.
• A characteristic free approach to Brauer algebras
• Representations of Hecke Algebras of General Linear Groups
• Cellular Algebras: Inflations and Morita Equivalences
• Blocks and Idempotents of Hecke Algebras of General Linear Groups
• A Specht module analog for the rook monoid

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