Integration of modules I: stability

Matthew Westaway, Dmitriy Rumynin

Research output: Contribution to journalArticlepeer-review


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.
Original languageEnglish
JournalPacific Journal of Mathematics
Publication statusPublished - 24 Oct 2019


  • Frobenius kernel
  • representation
  • cohomology
  • obstruction


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