Representation Equivalence and p-Spectrum of Constant Curvature Space Forms

LAURET, E.A.; MIATELLO, R.J.; ROSSETTI, J.P.

THE JOURNAL OF GEOMETRIC ANALYSIS

SPRINGER

Año: 2015 vol. 25 p. 564 - 591

1050-6926

We study the p-spectrum of a locally symmetric space of constant curvature Γ∖X, in connection with the right regular representation of the full isometry group G of X on (Formula presented.), where τp is the complexified p-exterior representation of O(n) on (Formula presented.). We give an expression of the multiplicity dλ(p,Γ) of the eigenvalues of the p-Hodge–Laplace operator in terms of multiplicities nΓ(π) of specific irreducible unitary representations of G.