On central idempotents in the partition algebra

DOI10.1006/jabr.1998.7754zbMath0933.20006OpenAlexW1990510400MaRDI QIDQ1305068

David J. Woodcock, Paul P. Martin

Publication date: 19 January 2000

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

Full work available at URL: https://doi.org/10.1006/jabr.1998.7754

zbMATH Keywords

Morita equivalenceslattice modelscentral idempotentspartition algebrassymmetric group algebras

Mathematics Subject Classification ID

Combinatorial aspects of representation theory (05E10) Representations of finite symmetric groups (20C30) Group rings of finite groups and their modules (group-theoretic aspects) (20C05) Lattice systems (Ising, dimer, Potts, etc.) and systems on graphs arising in equilibrium statistical mechanics (82B20)

Related Items

On central idempotents in the Brauer algebra, Diagram monoids and Graham-Houghton graphs: idempotents and generating sets of ideals, Alternating submodules for partition algebras, rook algebras, and rook-Brauer algebras, A lift of West's stack-sorting map to partition diagrams, On presentations of Brauer-type monoids., Characters of the partition algebras., Partition algebras., The partition algebras and a new deformation of the Schur algebras, Partition algebras Pk(n) with 2k>n and the fundamental theorems of invariant theory for the symmetric group Sn

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