most citedHarish-Chandra--Schwartz's algebras associated with discrete subgroups of Semisimple Lie groups

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math.GR2023

Riesz operators and -boundary representations for hyperbolic groups

Adrien Boyer, Jean-Martin Paoli

We investigate Lp-boundary representations of hyperbolic groups. We prove that such representations are irreducible if and only if the corresponding Riesz operators are injective.

math.GR2016

Asymptotic Schur orthogonality in hyperbolic groups with application to monotony

Adrien Boyer, Łukasz Garncarek

We prove a generalization of Schur orthogonality relations for certain classes of representations of Gromov hyperbolic groups. We apply the obtained results to show that representa…

math.GR2016★ 1 cited

Harish-Chandra--Schwartz's algebras associated with discrete subgroups of Semisimple Lie groups

Adrien Boyer

We prove that the Harish-Chandra--Schwartz space associated with a discrete subgroup of a semisimple Lie group is a dense subalgebra of the reduced -algebra of the discrete su…