Lie algebra actions on module categories for truncated shifted yangians
We develop a theory of parabolic induction and restriction functors relating modules over Coulomb branch algebras, in the sense of Braverman-Finkelberg-Nakajima. Our functors generalize Bezrukavnikov-Etingof’s induction and restriction functors for Cherednik algebras, but their definition uses diffe...
| Main Authors: | , , , |
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| Format: | Article |
| Language: | English |
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Cambridge University Press
2024-01-01
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| Series: | Forum of Mathematics, Sigma |
| Subjects: | |
| Online Access: | https://www.cambridge.org/core/product/identifier/S2050509424000033/type/journal_article |
| _version_ | 1797338184620703744 |
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| author | Joel Kamnitzer Ben Webster Alex Weekes Oded Yacobi |
| author_facet | Joel Kamnitzer Ben Webster Alex Weekes Oded Yacobi |
| author_sort | Joel Kamnitzer |
| collection | DOAJ |
| description | We develop a theory of parabolic induction and restriction functors relating modules over Coulomb branch algebras, in the sense of Braverman-Finkelberg-Nakajima. Our functors generalize Bezrukavnikov-Etingof’s induction and restriction functors for Cherednik algebras, but their definition uses different tools. |
| first_indexed | 2024-03-08T09:27:17Z |
| format | Article |
| id | doaj.art-c264b3a5441347d7b507266f85b7c1f2 |
| institution | Directory Open Access Journal |
| issn | 2050-5094 |
| language | English |
| last_indexed | 2024-03-08T09:27:17Z |
| publishDate | 2024-01-01 |
| publisher | Cambridge University Press |
| record_format | Article |
| series | Forum of Mathematics, Sigma |
| spelling | doaj.art-c264b3a5441347d7b507266f85b7c1f22024-01-31T08:04:59ZengCambridge University PressForum of Mathematics, Sigma2050-50942024-01-011210.1017/fms.2024.3Lie algebra actions on module categories for truncated shifted yangiansJoel Kamnitzer0https://orcid.org/0000-0003-0771-3831Ben Webster1https://orcid.org/0000-0003-1896-5540Alex Weekes2https://orcid.org/0000-0002-5479-5588Oded Yacobi3https://orcid.org/0000-0002-4739-0689Department of Mathematics and Statistics, McGill University, 805 Sherbrooke Street West, Montreal, QC, H3A 0B9, Canada; E-mail:Department of Pure Mathematics, University of Waterloo & Perimeter Institute for Theoretical Physics, 200 University Avenue West, Waterloo, ON, N2L 3G1, Canada; E-mail:Department of Mathematics and Statistics, University of Saskatchewan, 106 Wiggins Road, Saskatoon, SK, S7N 5E6, Canada; E-mail:School of Mathematics and Statistics, University of Sydney, Sydney, 2006, Australia; E-mail:We develop a theory of parabolic induction and restriction functors relating modules over Coulomb branch algebras, in the sense of Braverman-Finkelberg-Nakajima. Our functors generalize Bezrukavnikov-Etingof’s induction and restriction functors for Cherednik algebras, but their definition uses different tools.https://www.cambridge.org/core/product/identifier/S2050509424000033/type/journal_article20G0514L3514D24 |
| spellingShingle | Joel Kamnitzer Ben Webster Alex Weekes Oded Yacobi Lie algebra actions on module categories for truncated shifted yangians Forum of Mathematics, Sigma 20G05 14L35 14D24 |
| title | Lie algebra actions on module categories for truncated shifted yangians |
| title_full | Lie algebra actions on module categories for truncated shifted yangians |
| title_fullStr | Lie algebra actions on module categories for truncated shifted yangians |
| title_full_unstemmed | Lie algebra actions on module categories for truncated shifted yangians |
| title_short | Lie algebra actions on module categories for truncated shifted yangians |
| title_sort | lie algebra actions on module categories for truncated shifted yangians |
| topic | 20G05 14L35 14D24 |
| url | https://www.cambridge.org/core/product/identifier/S2050509424000033/type/journal_article |
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