On conjugacy classes of \(S_{n}\) containing all irreducibles

DOI10.1007/s11856-018-1659-3zbMath1392.05123arXiv1607.08581OpenAlexW3104872927MaRDI QIDQ1650038

Sheila Sundaram

Publication date: 29 June 2018

Published in: Israel Journal of Mathematics (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1607.08581

zbMATH Keywords

partitionssymmetric groupsrepresentation theorysymmetric functionsplethysmYoung diagrams

Mathematics Subject Classification ID

Combinatorial aspects of partitions of integers (05A17) Symmetric functions and generalizations (05E05) Representations of finite symmetric groups (20C30) Partitions; congruences and congruential restrictions (11P83) Symmetric groups (20B30) Group actions on combinatorial structures (05E18)

Related Items (4)

On the existence of tableaux with given modular major index ⋮ On a positivity conjecture in the character table of \(S_n\) ⋮ Standard tableaux and modular major index ⋮ On the Schur positivity of sums of power sums

Cites Work

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• Theorem about the conjugacy representation of \(S_ n\)
• Ein weiterer Beweis, daß die konjugierende Darstellung der symmetrischen Gruppe jede irreduzible Darstellung enthält. (A further proof that the conjugating representation of the symmetric group contains every irreducible representation)
• The conjugacy action of \(S_n\) and modules induced from centralisers
• On the existence of tableaux with given modular major index
• The adjoint representation of group algebras and enveloping algebras
• Conjugacy action, induced representations and the Steinberg square for simple groups of Lie type
• A Stronger Bertrand's Postulate with an Application to Partitions

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