In this chapter we study a family of multiplicity-free triples on GL (2, Fq) that generalize the well known Gelfand pair associated with the finite hyperbolic plane (see [Terras, Fourier analysis on finite groups and applications. London mathematical society student texts, vol 43. Cambridge University Press, Cambridge, 1999, Chapters 19, 20, 21, and 23]). We suppose that q is an odd prime power (cf. Sect. 3.5) and we denote by (formula presented) the multiplicative characters of Fq (respectively (formula presented)).
In questo capitolo studiamo una prima terna priva di molteplicità su GL (2, Fq).
Harmonic analysis of the multiplicity-free triple (gl(2, Fq), C, ν) / Ceccherini-Silberstein, T.; Scarabotti, F.; Tolli, F.. - (2020), pp. 71-94. - LECTURE NOTES IN MATHEMATICS. [10.1007/978-3-030-51607-9_5].
Harmonic analysis of the multiplicity-free triple (gl(2, Fq), C, ν)
Scarabotti F.;
2020
Abstract
In this chapter we study a family of multiplicity-free triples on GL (2, Fq) that generalize the well known Gelfand pair associated with the finite hyperbolic plane (see [Terras, Fourier analysis on finite groups and applications. London mathematical society student texts, vol 43. Cambridge University Press, Cambridge, 1999, Chapters 19, 20, 21, and 23]). We suppose that q is an odd prime power (cf. Sect. 3.5) and we denote by (formula presented) the multiplicative characters of Fq (respectively (formula presented)).| File | Dimensione | Formato | |
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