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Park, Chol
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A classification of Breuil modules

Author(s)
Park, Chol
Issued Date
2021-04
DOI
10.1007/s11856-021-2131-3
URI
https://scholarworks.unist.ac.kr/handle/201301/52880
Fulltext
https://link.springer.com/article/10.1007%2Fs11856-021-2131-3
Citation
ISRAEL JOURNAL OF MATHEMATICS, v.242, pp.605 - 635
Abstract
Let p be a prime number and f a positive integer with f < p. In this paper, we determine the structure of simple Breuil modules of type circle plus(n)(i=1) omega(ki)(f) corresponding to n-dimensional irreducible representations of G(Qp). We also describe the extensions of those simple Breuil modules if they correspond to mod p reductions of strongly divisible modules that correspond to Galois stable lattices in potentially semistable representations of G(Qp) with Hodge-Tate weights {0, 1, ... , n - 1} and Galois type circle plus(n)(i=1) omega(similar to ki)(f).
Publisher
HEBREW UNIV MAGNES PRESS
ISSN
0021-2172
Keyword
SEMI-STABLE REPRESENTATIONSLOCAL-GLOBAL COMPATIBILITYCONJECTURETORSION

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