A Natural Orthogonal Basis of Eigenfunctions of the Hecke Algebra Acting on Cayley Graphs

DOI10.2307/2161884zbMath0851.11074OpenAlexW4242280468MaRDI QIDQ4874252

Jinghua Kuang

Publication date: 25 November 1996

Full work available at URL: https://doi.org/10.2307/2161884

zbMATH Keywords

Cayley graphsHecke algebrabasis of eigenfunctionsadjacency operators

Mathematics Subject Classification ID

Linear algebraic groups over finite fields (20G40) Graphs and abstract algebra (groups, rings, fields, etc.) (05C25) Other character sums and Gauss sums (11T24) Representations of finite groups of Lie type (20C33)

Related Items (2)

Graph spectra for finite upper half planes over rings ⋮ On eigenvalues related to finite Poincaré planes

Cites Work

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• Hecke algebras
• Complex Representations of 𝐺𝐿(2,𝐾) for Finite Fields 𝐾
• Estimates for Soto-Andrade sums.

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