Young-type matrix units for non-propagating partition algebra submodules

DOI10.1007/S00025-024-02333-XMaRDI QIDQ6656694

John Maxwell Campbell

Publication date: 3 January 2025

Published in: Results in Mathematics (Search for Journal in Brave)

zbMATH Keywords

semimodular latticesemisimple algebrapartition algebrapartition diagrammatrix unit

Mathematics Subject Classification ID

Combinatorial aspects of representation theory (05E10) Representations of finite symmetric groups (20C30) Simple and semisimple modules, primitive rings and ideals in associative algebras (16D60)

Cites Work

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• Partition algebras.
• The partition algebras and a new deformation of the Schur algebras
• The structure of the partition algebras
• Set-partition tableaux and representations of diagram algebras
• Lectures in algebraic combinatorics. Young's construction, seminormal representations, \(\mathfrak{sl}(2)\) representations, heaps, basics on finite fields
• An insertion algorithm on multiset partitions with applications to diagram algebras
• Canonical idempotents of multiplicity-free families of algebras
• A seminormal form for partition algebras
• Partition algebras Pk(n) with 2k>n and the fundamental theorems of invariant theory for the symmetric group Sn
• TEMPERLEY-LIEB ALGEBRAS FOR NON-PLANAR STATISTICAL MECHANICS — THE PARTITION ALGEBRA CONSTRUCTION
• The partition algebra and the Potts model transfer matrix spectrum in high dimensions
• Alternating submodules for partition algebras, rook algebras, and rook-Brauer algebras

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