Explicit Construction of Universal Deformation Rings
نویسندگان
چکیده
Let V be an absolutely irreducible representation of a profinite group G over the residue field k of a noetherian local ring O. For local complete O-algebras A with residue field k the representations of G over A that reduce to V over k are given by O-algebra homomorphisms R → A, where R is the universal deformation ring of V . We show this with an explicit construction of R. The ring R is noetherian if and only if H(G,Endk(V )) has finite dimension over k.
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