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This note is a correction of (statement and proof of) proposition 3.3.1 ofToby Gee's preprint intitled *On the weights of mod p Hilbert modular forms*.The aim is to compare Galois representations arising from extensions of somegroup schemes (over the ring of integers of a p-adic field) endowed with adescent data, and extensions of some crystalline representations with givenHodge-Tate weights. The main tool of the proof is the theory of Breuil.

Sch\'emas en groupes et poids de Diamond-Serre