# Deformation rings and Hecke algebras in the totally real case

Source: [Deformation rings and Hecke algebras in the totally real case](<https://www.sota2.com/research/paper/68fa4d3f1e209131ce9531a6>)

Collection index: [llms.txt](<https://www.sota2.com/research/llms.txt>)

Data updated: 2025-10-25T09:12:34.863Z

Authors: K. Fujiwara

Published: 2006-02-27T09:00:04.000Z

## Abstract

One of the basic questions in number theory is to determine semi-simple l-adic representations of the absolute Galois group of a number field. In this paper, we discuss the question for two dimensional representations over a totally real number field.

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## Original sources and implementation

[Original paper](<https://arxiv.org/abs/math/0602606>)

[PDF](<https://arxiv.org/pdf/math/0602606.pdf>)