Integration of modules I: stability

Rumynin, Dmitriy; Westaway, Matthew

doi:10.2140/pjm.2019.301.575

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Integration of modules I: stability

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Rumynin, Dmitriy
Max Planck Institute for Mathematics, Max Planck Society;

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http://dx.doi.org/10.2140/pjm.2019.301.575
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1708.06620.pdf
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Rumynin, D., & Westaway, M. (2019). Integration of modules I: stability. Pacific Journal of Mathematics, 301(2), 575-600. doi:10.2140/pjm.2019.301.575.

Cite as: https://hdl.handle.net/21.11116/0000-0005-0CDA-9

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.