Plethysm and the algebra of uniform block permutations

DOI10.5802/alco.243OpenAlexW4308754095MaRDI QIDQ2097200

Anne Schilling, Michael Zabrocki, Franco V. Saliola, Rosa C. Orellana

Publication date: 11 November 2022

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

Full work available at URL: https://arxiv.org/abs/2112.13909

zbMATH Keywords

symmetric functionsplethysmpartition algebrarepresentation theory of semigroups

Mathematics Subject Classification ID

Permutations, words, matrices (05A05) Symmetric functions and generalizations (05E05) Combinatorial aspects of representation theory (05E10) Representation of semigroups; actions of semigroups on sets (20M30)

Related Items (2)

Necessary conditions for the positivity of Littlewood-Richardson and plethystic coefficients ⋮ Character theory and categorification. Abstracts from the workshop held August 28 -- September 3, 2022

Uses Software

• OEIS

Cites Work

• Representation theory of finite monoids
• A computational and combinatorial exposé of plethystic calculus
• Irreducible representations of the party algebra
• Representations of the rook monoid.
• The structure of the partition algebras
• Set-partition tableaux and representations of diagram algebras
• An insertion algorithm on multiset partitions with applications to diagram algebras
• Möbius functions and semigroup representation theory. II: Character formulas and multiplicities.
• Characters of finite semigroups
• On the irreducible representations of a finite semigroup
• TURBO-STRAIGHTENING FOR DECOMPOSITION INTO STANDARD BASES
• 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)
• A presentation for the monoid of uniform block permutations
• The partition algebra and the Potts model transfer matrix spectrum in high dimensions
• Irreducible Matrix Representations of Finite Semigroups
• Matrix Representations of Completely Simple Semigroups
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