Kronecker comultiplication of stable characters and restriction from \(S_{ mn }\) to \(S_m \times S_n\)

DOI10.1016/j.jalgebra.2023.07.043arXiv2112.01456OpenAlexW4386295614MaRDI QIDQ6087806

Christopher Ryba

Publication date: 16 November 2023

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

Full work available at URL: https://arxiv.org/abs/2112.01456

zbMATH Keywords

symmetric groupsrepresentation stabilityKronecker comultiplication

Mathematics Subject Classification ID

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

Cites Work

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• The Hopf structure of symmetric group characters as symmetric functions
• Stable Grothendieck rings of wreath product categories
• GL-equivariant modules over polynomial rings in infinitely many variables
• STABILITY PATTERNS IN REPRESENTATION THEORY
• Littlewood complexes for symmetric groups
• Stability in the homology of Deligne–Mumford compactifications
• Critical groups for Hopf algebra modules
• Specht modules decompose as alternating sums of restrictions of Schur modules

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