DEFORMATION CONDITIONS FOR PSEUDOREPRESENTATIONS
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 tha...
| Main Authors: | , |
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| Format: | Article |
| Language: | English |
| Published: |
Cambridge University Press
2019-01-01
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| Series: | Forum of Mathematics, Sigma |
| Subjects: | |
| Online Access: | https://www.cambridge.org/core/product/identifier/S2050509419000197/type/journal_article |
| _version_ | 1811156229019402240 |
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| author | PRESTON WAKE CARL WANG-ERICKSON |
| author_facet | PRESTON WAKE CARL WANG-ERICKSON |
| author_sort | PRESTON WAKE |
| collection | DOAJ |
| description | 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. |
| first_indexed | 2024-04-10T04:47:03Z |
| format | Article |
| id | doaj.art-470d7b5ab8154322ad7b3461dd1bb7bd |
| institution | Directory Open Access Journal |
| issn | 2050-5094 |
| language | English |
| last_indexed | 2024-04-10T04:47:03Z |
| publishDate | 2019-01-01 |
| publisher | Cambridge University Press |
| record_format | Article |
| series | Forum of Mathematics, Sigma |
| spelling | doaj.art-470d7b5ab8154322ad7b3461dd1bb7bd2023-03-09T12:34:44ZengCambridge University PressForum of Mathematics, Sigma2050-50942019-01-01710.1017/fms.2019.19DEFORMATION CONDITIONS FOR PSEUDOREPRESENTATIONSPRESTON WAKE0https://orcid.org/0000-0001-7411-1780CARL WANG-ERICKSON1https://orcid.org/0000-0002-1230-7574Institute for Advanced Study, Princeton, NJ 08540, USA;Department of Mathematics, Imperial College London, London SW7 2AZ, UK;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.https://www.cambridge.org/core/product/identifier/S2050509419000197/type/journal_article11F70 (primary)16R9911S20 (secondary) |
| spellingShingle | PRESTON WAKE CARL WANG-ERICKSON DEFORMATION CONDITIONS FOR PSEUDOREPRESENTATIONS Forum of Mathematics, Sigma 11F70 (primary) 16R99 11S20 (secondary) |
| title | DEFORMATION CONDITIONS FOR PSEUDOREPRESENTATIONS |
| title_full | DEFORMATION CONDITIONS FOR PSEUDOREPRESENTATIONS |
| title_fullStr | DEFORMATION CONDITIONS FOR PSEUDOREPRESENTATIONS |
| title_full_unstemmed | DEFORMATION CONDITIONS FOR PSEUDOREPRESENTATIONS |
| title_short | DEFORMATION CONDITIONS FOR PSEUDOREPRESENTATIONS |
| title_sort | deformation conditions for pseudorepresentations |
| topic | 11F70 (primary) 16R99 11S20 (secondary) |
| url | https://www.cambridge.org/core/product/identifier/S2050509419000197/type/journal_article |
| work_keys_str_mv | AT prestonwake deformationconditionsforpseudorepresentations AT carlwangerickson deformationconditionsforpseudorepresentations |