F. Andreatta, A. Iovita, and V. Pilloni, p-adic families of Siegel modular cuspforms, Annals of Mathematics, vol.181, pp.623-697, 2015.
DOI : 10.4007/annals.2015.181.2.5

]. A. An87 and . Andrianov, Quadratic Forms and Hecke Operators, Grundlehren Math. Wiss, vol.286, 1987.

]. A. An09 and . Andrianov, Twisting of Siegel modular forms with characters, and L-functions, St. Petersburg Math, J, vol.20, issue.6, pp.851-871, 2009.

B. J. Bella¨?chebella¨?che and G. Chenevier, Families of Galois representations and Selmer groups, Astérisque 324, Be02] L. Berger, Représentations p-adiques etéquationsetéquations différentielles Chenevier, Représentations potentiellement triangulines de dimension 2, pp.219-284, 2002.

]. N. Bo and . Bourbaki, Elements of Mathematics. Algebra I. Chapters 1-3, 1989.

S. Bosch, U. Güntzer, and R. Remmert, Non-Archimedean Analysis, Grundleheren Math, Wiss, vol.261, 1984.

S. Bijakowski, V. Pilloni, B. [. Stroh, G. Brasca, and . Rosso, Classicité de formes modulaires surconvergentes, to appear in Annals of Math Eigenvarieties for non-cuspidal modular forms over certain PEL type Shimura varieties, preprint, Eigenvarieties, in L-functions and Galois representations Proc. Conf, pp.59-120, 2004.

]. H. Ca94 and . Carayol, Formes modulaires et représentations galoisiennesàgaloisiennes`galoisiennesà valeurs dans un anneau local complet, Contemp. Math, vol.165, pp.213-237, 1994.

R. Coleman and B. Mazur, The Eigencurve, Galois Representations in Arithmetic Algebraic Geometry, London Math. Soc. Lecture Note SerCol08] P. Colmez, Représentations triangulines de dimension 2, Astérisque 319, pp.1-113, 1998.
DOI : 10.1017/CBO9780511662010.003

B. Conrad, Irreducible components of rigid analytic spaces, Co16] A. Conti, Grande image de Galois pour familles p-adiques de formes automorphes de pente positive, pp.905-919, 1999.

A. Conti, A. Iovita, and J. Tilouine, Big image of Galois representations associated with finite slope p-adic families of modular forms, preprint Crystalline Dieudonné theory via formal and rigid geometry, Publ. Math. Inst. HautesÉtudesHautes´HautesÉtudes Sci, vol.82, issue.1, pp.5-96, 1995.

G. Di-matteodg12, ]. E. Ghate, and M. Dimitrov, On triangulable tensor products of B-pairs and trianguline representations, preprint On classical weight one forms in Hida families, Local-global compatibility in the p-adic Langlands programme for GL 2 /Q, pp.2013-669, 2012.

]. A. Fi02 and . Fischman, On the image of ?-adic Galois representations, Annales de l, Institut Fourier, vol.52, issue.2, pp.351-378, 2002.

A. Genestier and J. Tilouine, Systèmes de Taylor-Wiles pour GSp 4, Formes automorphes II. Le cas du groupe GSp Astérisque 302, pp.177-290, 2005.

´. E. Go1889, . Goursat, L. H. Sur, J. Hida, and . Tilouine, [Hi15] H. Hida, Big Galois representations and p-adic L-functions Big image of Galois representations and congruence ideals, Arithmetic Geometry Proc. Workshop on Serre's Conjecture, pp.9-102, 1889.

. S. Kpx-]-k, J. Kedlaya, L. Pottharst, . H. Xiao-[-ks02-]-h, F. Kim et al., Cohomology of arithmetic families of (?, ?)-modules, J. Amer, Functorial products for GL 2 × GL 3 and the symmetric cube for GL 2, pp.1043-1115, 2002.

]. M. Ki03 and . Kisin, Overconvergent modular forms and the Fontaine-Mazur conjecture, Invent. Math, vol.153, pp.363-454, 2003.

]. J. La16 and . Lang, On the image of the Galois representation associated to a non-CM Hida family, Algebra Number Theory, vol.10, issue.1, pp.155-194, 2016.

]. R. Liv89, ]. Livnélu14, and . Ludwig, functoriality for inner forms of unitary groups in three variables A p-adic Labesse-Langlands transfer, preprint. [Ma89] B. Mazur, Deforming Galois representations, Galois groups over Q, M.S.R.I. PublicationsMo81] F. Momose, On the -adic representations attached to modular formsNy96] L. Nyssen, Pseudo-représentations, pp.133-141, 1981.

O. T. O-'meara and R. I. , Symplectic groups Mathematical Surveys Amer, Pil12] V. Pilloni, Modularité, formes de Siegel et surfaces abéliennes, pp.666-701, 1978.

R. Pink, D. Ramakrishnan, and F. Shahidi, Compact subgroups of linear algebraic groups Siegel modular forms of genus 2 attached to elliptic curves, J. Algebra Math. Res. Lett, vol.206, issue.14 2, pp.438-504, 1998.

]. S. Sen80 and . Sen, [Sen93] S. Sen, An infinite dimensional Hodge-Tate theory, Facteurs locaux des fonctions zêta des variétés algébriques (définitions et conjectures), in Sém, pp.89-116, 1969.

]. R. Ta91 and . Taylor, Galois representations associated to Siegel modular forms of low weight, Duke Math, J, vol.63, pp.281-332, 1991.

]. S. Taz85 and . Tazhetdinov, Nearly ordinary rank four Galois representations and p-adic Siegel modular forms, with an appendice by D. Blasius Dimension variation of classical and p-adic modular forms, Subnormal structure of symplectic groups over local ringsUr05] E. Urban, Sur les représentations p-adiques associées aux représentations cuspidales de GSp 4 (Q), in Formes automorphes II. Le cas du groupe GSp Astérisque 302 Langlands functoriality for the definite unitary groups, pp.164-169, 1985.