The Largest Degrees of Irreducible Characters of the Symmetric Group

DOI10.2307/2005331zbMath0345.20011OpenAlexW4235927594WikidataQ56688831 ScholiaQ56688831MaRDI QIDQ4114008

John McKay

Publication date: 1976

Full work available at URL: https://doi.org/10.2307/2005331

Mathematics Subject Classification ID

Exact enumeration problems, generating functions (05A15) Representations of finite symmetric groups (20C30) Software, source code, etc. for problems pertaining to group theory (20-04)

Related Items (14)

Skew shape asymptotics, a case-based introduction ⋮ Finite Gelfand pairs and cracking points of the symmetric groups ⋮ Bounds on the largest Kronecker and induced multiplicities of finite groups ⋮ Numerical experiments in problems of asymptotic representation theory.. ⋮ How much is a quantum controller controlled by the controlled system? ⋮ Symmetric function theory and unitary invariant ensembles ⋮ On the minimal degrees of characters of \(S_n\) ⋮ A statistical sum associated with Young diagrams ⋮ The largest character degrees of the symmetric and alternating groups ⋮ A variational problem for random Young tableaux ⋮ Finite groups with an irreducible character of large degree. ⋮ Experiments in calculating the dimension of a typical representation of the symmetric group ⋮ Strong Gelfand pairs of symmetric groups ⋮ Asymptotics of maximal and typical dimensions of irreducible representations of a symmetric group

Cites Work

• Unnamed Item
• A variational problem for random Young tableaux
• Improved Methods to Calculate the Characters of the Symmetric Group
• Multi-dimensional map-folding
• On Recursions Connected With Symmetric Groups I
• Characters of the Symmetric Groups of Degree 15 and 16
• On finite linear groups

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