On the Schur positivity of sums of power sums

zbMath1436.05138MaRDI QIDQ2306512

Sheila Sundaram

Publication date: 23 March 2020

Published in: Séminaire Lotharingien de Combinatoire (Search for Journal in Brave)

Full work available at URL: http://www.mat.univie.ac.at/~slc/wpapers/FPSAC2019//49.html

zbMATH Keywords

plethysmSchur positivityLie representationconjugacy actionsymmetric and exterior powers

Mathematics Subject Classification ID

Combinatorial aspects of partitions of integers (05A17) Symmetric functions and generalizations (05E05) Combinatorial aspects of representation theory (05E10) Representations of finite symmetric groups (20C30) Group actions on combinatorial structures (05E18)

Related Items (2)

On a curious variant of the \(S_n\)-module \(\text{Lie}_n\) ⋮ Prime power variations of higher \(\mathrm{Lie}_n\) modules

Cites Work

• The conjugacy action of \(S_n\) and modules induced from centralisers
• On conjugacy classes of \(S_{n}\) containing all irreducibles
• On a variant of \(\text{Lie}_{n}\)
• On the Sum of the Elements in the Character Table of a Finite Group
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