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- W2182836950 abstract "The existence of a spectral gap for quotients G of noncompact connected semisimple Lie groups is crucial in many applications. For congruence lattices there are uniform and very good bounds for the spectral gap coming from the known bounds towards the Ramanujan-Selberg Conjectures. If G has no compact factors then for general lattices a spectral gap can still be estab- lished, however, there is no uniformity and no effective bounds are known. This note is concerned with the spectral gap for an irre- ducible co-compact lattice in G = PSL(2, R) d for d ≥ 2 which is the simplest and most basic case where the congruence sub- group property is not known. The method used here gives effective bounds for the spectral gap in this setting." @default.
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- W2182836950 date "2008-08-18" @default.
- W2182836950 modified "2023-10-16" @default.
- W2182836950 title "Spectral gap for products of $PSL(2,bbR)$" @default.
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