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  Integration of modules I: stability

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.

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Item Permalink: https://hdl.handle.net/21.11116/0000-0005-0CDA-9 Version Permalink: https://hdl.handle.net/21.11116/0000-000B-1C12-2
Genre: Journal Article

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Rumynin-Westaway_Integration of modules I_Stability_2019.pdf (Publisher version), 397KB
 
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http://dx.doi.org/10.2140/pjm.2019.301.575 (Publisher version)
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 Creators:
Rumynin, Dmitriy1, Author           
Westaway, Matthew, Author
Affiliations:
1Max Planck Institute for Mathematics, Max Planck Society, ou_3029201              

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Free keywords: Mathematics, Representation Theory, Group Theory, Rings and Algebras
 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.

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Language(s): eng - English
 Dates: 2019
 Publication Status: Issued
 Pages: 26
 Publishing info: -
 Table of Contents: -
 Rev. Type: Peer
 Identifiers: arXiv: 1708.06620
DOI: 10.2140/pjm.2019.301.575
URI: http://arxiv.org/abs/1708.06620
 Degree: -

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Title: Pacific Journal of Mathematics
  Abbreviation : Pacific J. Math.
Source Genre: Journal
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Publ. Info: Mathematical Sciences Publishers
Pages: - Volume / Issue: 301 (2) Sequence Number: - Start / End Page: 575 - 600 Identifier: -