The quasi-partition algebra.

DOI10.1016/j.jalgebra.2013.11.028zbMath1334.20008arXiv1212.2596OpenAlexW2071600683MaRDI QIDQ401629

Zajj Daugherty, Rosa C. Orellana

Publication date: 27 August 2014

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

Full work available at URL: https://arxiv.org/abs/1212.2596

zbMATH Keywords

symmetric groupsrepresentationscentralizer algebraspartition algebrasSchur-Weyl dualitydiagram algebras

Mathematics Subject Classification ID

Symmetric functions and generalizations (05E05) Combinatorial aspects of representation theory (05E10) Hecke algebras and their representations (20C08) Representations of finite symmetric groups (20C30)

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Cites Work

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• Partition algebras.
• Generators and relations for partition monoids and algebras.
• The stability of the Kronecker product of Schur functions
• The rook partition algebra
• On partition algebras for complex reflection groups.
• Motzkin algebras
• Combinatorial operators for Kronecker powers of representations of \(\mathfrak S_n\).
• TEMPERLEY-LIEB ALGEBRAS FOR NON-PLANAR STATISTICAL MECHANICS — THE PARTITION ALGEBRA CONSTRUCTION
• On the centralizer algebra of the unitary reflection group G(m,p,n)
• The partition algebra and the Kronecker coefficients
• Representations of the Rook-Brauer Algebra

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