pseudorepresentation
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English
[edit]Etymology
[edit]From pseudo- + representation.
Noun
[edit]pseudorepresentation (plural pseudorepresentations)
- (mathematics) Given a group and a commutative ring , a tuple of maps , where and , are a pseudorepresentation if they satisfy the relations one would expect if and were the diagonal entries of a two dimensional representation and if was given by .
- 2015, Jyoti Prakash Saha, “Variation of Weyl modules in -adic families”, in arXiv[1]:
- More generally, we prove that the structures of the Frobenius-semisimplifications of the Weyl modules attached to a collection of pure representations are rigid if these pure representations lift to Weil-Deligne representations over domains containing and the traces of these lifts are parametrized by a pseudorepresentation over ..