Gehrmann, LennartPati, Maria Rosaria2025-09-122025-09-122024-05-302050-5094https://hdl.handle.net/2445/223126Let π be a cuspidal, cohomological automorphic representation of an inner form G of PGL2 over a number field F of arbitrary signature. Further, let p be a prime of F such that G is split at p and the local component πp of π at p is the Steinberg representation. Assuming that the representation is noncritical at p, we construct automorphic L-invariants for the representation π. If the number field F is totally real, we show that these automorphic L-invariants agree with the Fontaine–Mazur L-invariant of the associated p-adic Galois representation. This generalizes a recent result of Spieß respectively Rosso and the first named author from the case of parallel weight 2 to arbitrary cohomological weights.27 p.application/pdfengcc-by (c) Gehrmann, Lennart et al., 2024http://creativecommons.org/licenses/by/4.0/Espais de HilbertTeoria de GaloisHilbert spaceGalois theoryinfo:eu-repo/semantics/article2025-09-12info:eu-repo/semantics/openAccess