A natural orthogonal basis of eigenfunctions of the Hecke algebra acting on Cayley graphs

Kuang, Jing Hua

doi:10.1090/S0002-9939-1995-1301511-5

A natural orthogonal basis of eigenfunctions of the Hecke algebra acting on Cayley graphs
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Proc. Amer. Math. Soc. 123 (1995), 3615-3622 Request permission

Abstract:

This paper discusses the representation of the Hecke algebra of ${\text {GL}_2}({\mathbb {F}_q})$ on a class of Cayley graphs and gives a natural construction of an orthogonal basis of simultaneous eigenfunctions whose eigenvalues are the Soto-Andrade Sums.

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