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- Park, Chol
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REDUCTION MODULO p OF CERTAIN SEMI-STABLE REPRESENTATIONS
- Author(s)
- Park, Chol
- Issued Date
- 2017-08
- Citation
- TRANSACTIONS OF THE AMERICAN MATHEMATICAL SOCIETY, v.369, no.8, pp.5425 - 5466
- Abstract
- Let p > 3 be a prime number and let GQ(p) be the absolute Galois group of Q(p). In this paper, we find Galois stable lattices in the 3-dimensional irreducible semi-stable non-crystalline representations of GQ(p) with Hodge-Tate weights (0, 1, 2) by constructing the corresponding strongly divisible modules. We also compute the Breuil modules corresponding to the mod p reductions of these strongly divisible modules and determine which of the original representations has an absolutely irreducible mod p reduction.
- Publisher
- AMER MATHEMATICAL SOC
- ISSN
- 0002-9947
- Keyword
- ADIC REPRESENTATIONS, CONJECTURE, BREUIL
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