Upper bound on the characters of the symmetric groups for balanced Young diagrams and a generalized Frobenius formula.

DOI10.1016/j.aim.2008.01.008zbMath1155.20011arXivmath/0610540OpenAlexW2061622328MaRDI QIDQ2427566

Piotr Śniady, Amarpreet Rattan

Publication date: 13 May 2008

Published in: Advances in Mathematics (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/math/0610540

zbMATH Keywords

characters of symmetric groupsFrobenius formulaYoung diagramsproducts of transpositionsasymptotics of irreducible representations

Mathematics Subject Classification ID

Combinatorial aspects of representation theory (05E10) Representations of finite symmetric groups (20C30)

Related Items (10)

Combinatorial interpretation and positivity of Kerov's character polynomials ⋮ Character estimates for finite simple groups and applications ⋮ Character levels and character bounds for finite classical groups ⋮ Normalized characters of symmetric groups and Boolean cumulants via Khovanov's Heisenberg category ⋮ Asymptotics of characters of symmetric groups related to Stanley character formula ⋮ Zonal polynomials via Stanley's coordinates and free cumulants ⋮ Character ratios for finite groups of Lie type, and applications ⋮ Explicit combinatorial interpretation of Kerov character polynomials as numbers of permutation factorizations ⋮ Characters of symmetric groups: sharp bounds and applications. ⋮ Linear versus spin: representation theory of the symmetric groups

Cites Work

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• A new approach to representation theory of symmetric groups
• Positivity results for Stanley's character polynomials
• A variational problem for random Young tableaux
• Representations of symmetric groups and free probability
• Transition probabilities for continual Young diagrams and the Markov moment problem
• Some properties of crossings and partitions
• Irreducible symmetric group characters of rectangular shape.
• Upper bound on the characters of the symmetric groups
• Asymptotics of characters of symmetric groups, genus expansion and free probability.
• Gaussian fluctuations of characters of symmetric groups and of Young diagrams
• On the formula of Goulden and Rattan for Kerov polynomials
• An explicit form for Kerov's character polynomials
• Generating a random permutation with random transpositions
• The cutoff phenomenon in finite Markov chains.
• The algebra of conjugacy classes in symmetric groups, and partial permutations

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