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- W4294328689 abstract "We prove the following result related to the inverse problem for universal deformation rings of group representations: Given a finite field k, denote by W(k) the ring of Witt vectors over k and by K the field of fractions of W(k). If a complete noetherian local ring R is a universal deformation ring of a representation of a finite group over k, then R otimes_{W(k)} K is a finite 'etale K-algebra. As a consequence, we obtain explicit examples of characteristic zero complete noetherian local rings that can not be obtained as universal deformation rings of finite group representations. This contrasts with earlier results on universal deformation rings of profinite group representations." @default.
- W4294328689 created "2022-09-02" @default.
- W4294328689 creator A5086369836 @default.
- W4294328689 date "2014-07-15" @default.
- W4294328689 modified "2023-09-25" @default.
- W4294328689 title "A necessary condition for characteristic zero universal deformation rings of finite group representations" @default.
- W4294328689 doi "https://doi.org/10.48550/arxiv.1407.3922" @default.
- W4294328689 hasPublicationYear "2014" @default.
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