Specht modules decompose as alternating sums of restrictions of Schur modules

DOI10.1090/proc/14815zbMath1455.20007arXiv1809.10125OpenAlexW3105359551WikidataQ126985994 ScholiaQ126985994MaRDI QIDQ5212408

David E. Speyer, Sami Assaf

Publication date: 29 January 2020

Published in: Proceedings of the American Mathematical Society (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1809.10125

zbMATH Keywords

Specht modulesplethysmKronecker coefficientsSchur functors

Mathematics Subject Classification ID

Symmetric functions and generalizations (05E05) Combinatorial aspects of representation theory (05E10) Ordinary representations and characters (20C15) Representations of finite symmetric groups (20C30) Representation theory for linear algebraic groups (20G05)

Related Items (8)

Symmetric group characters as symmetric functions ⋮ Kronecker comultiplication of stable characters and restriction from \(S_{ mn }\) to \(S_m \times S_n\) ⋮ Character theory and categorification. Abstracts from the workshop held August 28 -- September 3, 2022 ⋮ Character polynomials and the restriction problem ⋮ Resolving irreducible ℂ𝕊_{𝕟}-modules by modules restricted from 𝔾𝕃_{𝕟}(ℂ) ⋮ The Hopf structure of symmetric group characters as symmetric functions ⋮ Polynomial induction and the restriction problem ⋮ Littlewood complexes for symmetric groups

Cites Work

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• Combinatoire et représentation du groupe symétrique. Actes de la Table Ronde du C.N.R.S. tenue à l'Université Louis-Pasteur de Strasbourg, 26 au 30 avril 1976
• Stable properties of plethysm: On two conjectures of Foulkes
• The homology representations of the symmetric group on Cohen-Macaulay subposets of the partition lattice
• Group representations on the homology of products of posets
• The action of \(S_n\) on the cohomology of \(\overline{M}_{0,n}(\mathbb{R})\)
• Products of symmetric group characters
• The Möbius function and connected graphs
• Products and Plethysms of Characters with Orthogonal, Symplectic and Symmetric Groups
• Resolving irreducible ℂ𝕊_{𝕟}-modules by modules restricted from 𝔾𝕃_{𝕟}(ℂ)
• Complex Representations of Finite Monoids
• Shellable and Cohen-Macaulay Partially Ordered Sets
• On the Representations of the Symmetric Group

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