2017
DOI: 10.1090/tran/6827
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Reduction modulo đť‘ť of certain semi-stable representations

Abstract: Abstract. Let p > 3 be a prime number and let G Qp be the absolute Galois group of Qp. In this paper, we find Galois stable lattices in the threedimensional irreducible semi-stable and non-crystalline representations of G Qp with Hodge-Tate weights (0, 1, 2) by constructing their strongly divisible modules. We also compute the Breuil modules corresponding to the mod p reductions of the strongly divisible modules, and determine which of the representations has an absolutely irreducible mod p reduction.

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Cited by 4 publications
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“…This would suggest to study the mod p reductions of potentially crystalline representations of the minimal regular Hodge-Tate weights {0, 1, 2, 3} as it is done for GL 3 in [15], [13].…”
Section: 32mentioning
confidence: 99%
“…This would suggest to study the mod p reductions of potentially crystalline representations of the minimal regular Hodge-Tate weights {0, 1, 2, 3} as it is done for GL 3 in [15], [13].…”
Section: 32mentioning
confidence: 99%