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Integration of modules I : stability
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Rumynin, Dmitriy and Westaway, Matthew (2019) Integration of modules I : stability. Pacific Journal of Mathematics, 301 (2). pp. 575-600. doi:10.2140/pjm.2019.301.575 ISSN 0030-8730.
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Official URL: http://doi.org/10.2140/pjm.2019.301.575
Abstract
We explore the integration of representations from a Lie algebra to its algebraic group in positive characteristic. An integrable module is stable under the twists by group elements. Our aim is to investigate cohomological obstructions for passing from stability to an algebraic group action. As an application, we prove integrability of bricks for a semisimple algebraic group.
| Item Type: | Journal Article | |||||||||
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| Subjects: | Q Science > QA Mathematics | |||||||||
| Divisions: | Faculty of Science, Engineering and Medicine > Science > Mathematics | |||||||||
| Library of Congress Subject Headings (LCSH): | Frobenius algebras, Cohomology operations, Lie algebras | |||||||||
| Journal or Publication Title: | Pacific Journal of Mathematics | |||||||||
| Publisher: | University of California, Berkeley | |||||||||
| ISSN: | 0030-8730 | |||||||||
| Official Date: | 24 October 2019 | |||||||||
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| Volume: | 301 | |||||||||
| Number: | 2 | |||||||||
| Page Range: | pp. 575-600 | |||||||||
| DOI: | 10.2140/pjm.2019.301.575 | |||||||||
| Status: | Peer Reviewed | |||||||||
| Publication Status: | Published | |||||||||
| Access rights to Published version: | Restricted or Subscription Access | |||||||||
| Date of first compliant deposit: | 10 January 2019 | |||||||||
| Date of first compliant Open Access: | 1 November 2019 | |||||||||
| Grant number: | Russian Academic Excellence Project '5-100' | |||||||||
| RIOXX Funder/Project Grant: |
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