Block characters of the symmetric groups.

DOI10.1007/s10801-012-0394-9zbMath1278.20008arXiv1108.5044OpenAlexW2039802128MaRDI QIDQ356733

Sergei Kerov, Vadim Gorin, Alexander V. Gnedin

Publication date: 26 July 2013

Published in: Journal of Algebraic Combinatorics (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1108.5044

zbMATH Keywords

irreducible representationspositive definite functionsrandom Young diagramslimit shapesblock characterscoinvariant algebrasfinite symmetric groupsThoma characters

Mathematics Subject Classification ID

Combinatorial aspects of representation theory (05E10) Representations of finite symmetric groups (20C30) Positive definite functions on groups, semigroups, etc. (43A35) Representations of infinite symmetric groups (20C32)

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Fundamental weight systems are quantum states ⋮ The characters of symmetric groups that depend only on length ⋮ A central limit theorem for star-generators of \({S}_{\infty }\), which relates to the law of a GUE matrix ⋮ Labeled binary trees, subarrangements of the Catalan arrangements, and Schur positivity ⋮ A central limit theorem for star-generators of S∞, which relates to traceless CCR-GUE matrices ⋮ Representations of classical Lie groups and quantized free convolution

Cites Work

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• Harmonic analysis on the infinite symmetric group
• Derangement characters of the finite general linear group.
• Eulerian numbers, Newcomb's problem and representations of symmetric groups
• Die unzerlegbaren Charaktere einiger diskreter Gruppen
• A variational problem for random Young tableaux
• The descent monomials and a basis for the diagonally symmetric polynomials
• Logarithmic combinatorial structures: A probabilistic approach
• Foulkes characters, Eulerian idempotents, and an amazing matrix
• Asymptotic theory of characters of the symmetric group
• Thoma's theorem and representations of the infinite bisymmetric group
• Group actions on Stanley-Reisner rings and invariants of permutation groups
• Convergence rates of random walk on irreducible representations of finite groups
• The orders of the finite Chevalley groups
• Die unzerlegbaren, positiv-definiten Klassenfunktionen der abzählbar unendlichen, symmetrischen Gruppe
• Invariants of finite groups and their applications to combinatorics
• Descent representations and multivariate statistics
• Supercharacters and superclasses for algebra groups
• Invariants of Finite Groups Generated by Reflections
• Discrete orthogonal polynomial ensembles and the Plancherel measure