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arXiv · 1708.00046

On the mod p reduction of orthogonal representations

Jean-Pierre Serre
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Abstract

We show that the reduction mod p of an orthogonal linear representation is orthogonal, and we generalize this fact to representations of algebras with involution.The proofs make an essential use of the notion of " middle lattices ".

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Jean-Pierre Serre. 2017-07-31. On the mod p reduction of orthogonal representations. https://arxiv.org/abs/1708.00046

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