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Integration of
modules I: stability
Dmitriy Rumynin and Matthew Westaway |
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Vol. 301 (2019), No. 2, 575–600
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DOI: 10.2140/pjm.2019.301.575
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Abstract |
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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. |
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Keywords
Frobenius kernel, representation, cohomology, obstructions
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Mathematical Subject Classification 2010
Primary: 20G05
Secondary: 17B45
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Milestones
Received: 7 May 2018
Revised: 7 December 2018
Accepted: 27 December 2018
Published: 24 October 2019
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Authors |
| Dmitriy Rumynin | |
| Mathematics Institute Zeeman Building University of Warwick Coventry United Kingdom |
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| Matthew Westaway | |
| Mathematics Institute Zeeman Building University of Warwick Coventry United Kingdom |
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