Degrees of irreducible characters of the symmetric group and exponential growth

DOI10.1090/proc/12758zbMath1382.20016arXiv1406.1653OpenAlexW2202667922MaRDI QIDQ2790170

Sergey Mishchenko, Antonio Giambruno

Publication date: 3 March 2016

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

Full work available at URL: https://arxiv.org/abs/1406.1653

zbMATH Keywords

charactersymmetric groupexponential growth

Mathematics Subject Classification ID

Combinatorial aspects of partitions of integers (05A17) Combinatorial aspects of representation theory (05E10) Representations of finite symmetric groups (20C30)

Related Items (5)

Almost nilpotent varieties with non-integer exponents do exist ⋮ On exponential growth of degrees ⋮ ON ALMOST NILPOTENT VARIETIES OF ANTICOMMUTATIVE METABELIAN ALGEBRAS ⋮ Asymptotics of the number of standard Young tableaux of skew shape ⋮ On the varieties of commutative metabelian algebras

Cites Work

• Algebras with intermediate growth of the codimensions.
• Proper identities, Lie identities and exponential codimension growth.
• On the minimal degrees of characters of \(S_n\)
• Maximal degrees for Young diagrams in the \((k,l)\) hook
• Exponential codimension growth of PI algebras: an exact estimate
• A characterization of P. I. algebras with bounded multiplicities of the cocharacters
• Hook Young diagrams with applications to combinatorics and to representations of Lie superalgebras
• Asymptotic values for degrees associated with strips of Young diagrams
• Codimensions of algebras and growth functions
• Lower bound on the dimensions or irreducible representations of symmetric groups and on the exponents of varieties of Lie algebras
• A Remark on Stirling's Formula
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