On admissible tensor products in p-adic Hodge theory
2013 ◽
Vol 149
(3)
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pp. 417-429
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AbstractWe prove that if W and W′ are non-zero B-pairs whose tensor product is crystalline (or semi-stable or de Rham or Hodge–Tate), then there exists a character μ such that W(μ−1) and W′(μ) are crystalline (or semi-stable or de Rham or Hodge–Tate). We also prove that if W is a B-pair and if F is a Schur functor (for example Sym n or Λn) such that F(W) is crystalline (or semi-stable or de Rham or Hodge–Tate) and if the rank of W is sufficiently large, then there is a character μ such that W(μ−1) is crystalline (or semi-stable or de Rham or Hodge–Tate). In particular, these results apply to p-adic representations.
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1975 ◽
Vol 78
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pp. 301-307
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1976 ◽
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pp. 385-402
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1993 ◽
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pp. 717-723
2019 ◽
Vol 22
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pp. 1950005
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1984 ◽
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pp. 301-302
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pp. 1224-1241
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