DEFORMATION CONDITIONS FOR PSEUDOREPRESENTATIONS
Forum of Mathematics, Sigma, Tome 7 (2019)
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Given a property of representations satisfying a basic stability condition, Ramakrishna developed a variant of Mazur’s Galois deformation theory for representations with that property. We introduce an axiomatic definition of pseudorepresentations with such a property. Among other things, we show that pseudorepresentations with a property enjoy a good deformation theory, generalizing Ramakrishna’s theory to pseudorepresentations.
@article{10_1017_fms_2019_19,
author = {PRESTON WAKE and CARL WANG-ERICKSON},
title = {DEFORMATION {CONDITIONS} {FOR} {PSEUDOREPRESENTATIONS}},
journal = {Forum of Mathematics, Sigma},
publisher = {mathdoc},
volume = {7},
year = {2019},
doi = {10.1017/fms.2019.19},
language = {en},
url = {http://geodesic.mathdoc.fr/articles/10.1017/fms.2019.19/}
}
PRESTON WAKE; CARL WANG-ERICKSON. DEFORMATION CONDITIONS FOR PSEUDOREPRESENTATIONS. Forum of Mathematics, Sigma, Tome 7 (2019). doi: 10.1017/fms.2019.19
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