English

Integration of Modules II: Exponentials

Representation Theory 2021-03-31 v2 Group Theory Rings and Algebras

Abstract

We continue our exploration of various approaches to integration of representations from a Lie algebra \mboxLie(G)\mbox{Lie} (G) to an algebraic group GG in positive characteristic. In the present paper we concentrate on an approach exploiting exponentials. This approach works well for over-restricted representations, introduced in this paper, and takes no note of GG-stability.

Keywords

Cite

@article{arxiv.1807.08698,
  title  = {Integration of Modules II: Exponentials},
  author = {Dmitriy Rumynin and Matthew Westaway},
  journal= {arXiv preprint arXiv:1807.08698},
  year   = {2021}
}

Comments

Accepted by Transactions of the AMS. This paper is split off the earlier versions (1, 2 and 3) of arXiv:1708.06620. Some of the statements in these versions of arXiv:1708.06620 contain mistakes corrected here. Version 2 of this paper: close to the accepted version by the journal, minor improvements, compared to Version 1

R2 v1 2026-06-23T03:11:09.889Z