Representations of the Rook-Brauer Algebra

DOI10.1080/00927872.2012.716120zbMath1291.05215arXiv1206.4576OpenAlexW2078376848MaRDI QIDQ5409793

Elise Delmas, Thomas Halverson

Publication date: 14 April 2014

Published in: Communications in Algebra (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1206.4576

zbMATH Keywords

Brauer algebraorthogonal groupSchur-Weyl dualityrook monoidseminormal representation

Mathematics Subject Classification ID

Combinatorial aspects of representation theory (05E10) Representation theory for linear algebraic groups (20G05)

Related Items

Presentations for rook partition monoids and algebras and their singular ideals ⋮ On tensor spaces for rook monoid algebras ⋮ Presentations of diagram categories ⋮ Traces on diagram algebras. II: Centralizer algebras of easy groups and new variations of the Young graph ⋮ Motzkin monoids and partial Brauer monoids ⋮ Diagram monoids and Graham-Houghton graphs: idempotents and generating sets of ideals ⋮ One-dimensional topological theories with defects and linear generating functions ⋮ An insertion algorithm on multiset partitions with applications to diagram algebras ⋮ The quasi-partition algebra. ⋮ The partial Temperley-Lieb algebra and its representations ⋮ Alternating submodules for partition algebras, rook algebras, and rook-Brauer algebras ⋮ Character theory and categorification. Abstracts from the workshop held August 28 -- September 3, 2022 ⋮ Separation of variables and the computation of Fourier transforms on finite groups. II ⋮ Motzkin algebras ⋮ Enumeration of idempotents in diagram semigroups and algebras ⋮ Set-partition tableaux and representations of diagram algebras ⋮ Gelfand models for diagram algebras ⋮ The efficient computation of Fourier transforms on semisimple algebras

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• Partition algebras.
• A ribbon Hopf algebra approach to the irreducible representations of centralizer algebras: The Brauer, Birman-Wenzl, and type A Iwahori-Hecke algebras
• Representations of the \(q\)-rook monoid.
• Representations of the rook monoid.
• Young's orthogonal form for Brauer's centralizer algebra
• On algebras which are connected with the semisimple continuous groups
• ON THE REPRESENTATION THEORY OF PARTIAL BRAUER ALGEBRAS
• ENDOMORPHISMS OF , , AND
• Crossings and nestings of matchings and partitions
• Dimensions of irreducible representations of the classical Lie groups
• TEMPERLEY-LIEB ALGEBRAS FOR NON-PLANAR STATISTICAL MECHANICS — THE PARTITION ALGEBRA CONSTRUCTION
• Seminormal Representations of Weyl Groups and Iwahori-Hecke Algebras
• Relations between the ‘percolation’ and ‘colouring’ problem and other graph-theoretical problems associated with regular planar lattices: some exact results for the ‘percolation’ problem