Plethysms of symmetric functions and highest weight representations

DOI10.1090/tran/8481zbMath1476.05199arXiv1810.03448OpenAlexW3175152017MaRDI QIDQ5158106

Mark Wildon, Melanie de Boeck, Rowena Paget

Publication date: 21 October 2021

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

Full work available at URL: https://arxiv.org/abs/1810.03448

zbMATH Keywords

minimal partitionsmaximal partitionsplethystic semistandard tableaux

Mathematics Subject Classification ID

Symmetric functions and generalizations (05E05) Combinatorial aspects of representation theory (05E10) Representations of Lie algebras and Lie superalgebras, algebraic theory (weights) (17B10) Representations of finite symmetric groups (20C30) Representations of Lie and real algebraic groups: algebraic methods (Verma modules, etc.) (22E47)

Related Items (7)

Modular plethystic isomorphisms for two-dimensional linear groups ⋮ The classification of multiplicity-free plethysms of Schur functions ⋮ On plethysms and Sylow branching coefficients ⋮ Some stable plethysms ⋮ Character theory and categorification. Abstracts from the workshop held August 28 -- September 3, 2022 ⋮ Positivity of Sylow branching coefficients for symmetric groups ⋮ The uniqueness of plethystic factorisation

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