Harmonic analysis on a finite homogeneous space II: The Gelfand–Tsetlin decomposition

DOI10.1515/FORUM.2010.047zbMath1201.43008OpenAlexW2089000996MaRDI QIDQ4933480

Fabio Scarabotti, Filippo Tolli

Publication date: 13 October 2010

Published in: Forum Mathematicum (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1515/forum.2010.047

zbMATH Keywords

Finite homogeneous spacesGelfand-Tsetlin decomposition

Mathematics Subject Classification ID

Ordinary representations and characters (20C15) Representations of finite symmetric groups (20C30) Extensions, wreath products, and other compositions of groups (20E22) Harmonic analysis and spherical functions (43A90) Categorical methods for abstract harmonic analysis (43A95)

Related Items (5)

Log-Sobolev inequality for the multislice, with applications ⋮ Induced representations and harmonic analysis on finite groups ⋮ Fourier analysis of subgroup conjugacy invariant functions on finite groups ⋮ Unnamed Item ⋮ Mackey's theory of \(\tau\)-conjugate representations for finite groups.

Cites Work

• Time to reach stationarity in the Bernoulli-Laplace diffusion model with many urns
• Trees, wreath products and finite Gelfand pairs
• A generalization of spectral analysis with application to ranked data
• Orthogonal Frobenius reciprocity
• Harmonic analysis of the space of \(S_a\times S_b\times S_c\)-invariant vectors in the irreducible representations of the symmetric group.
• Symmetry Classes: Functions of Three Variables
• Theory of symmetry classes.
• Radon transforms on the symmetric group and harmonic analysis of a class of invariant Laplacians
• Fourier Analysis of a Class of Finite Radon Transforms
• Radon transforms and the finite general linear groups

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