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Integration of modules – II: Exponentials
- Source :
- Transactions of the American Mathematical Society
- Publication Year :
- 2021
- Publisher :
- American Mathematical Society (AMS), 2021.
-
Abstract
- We continue our exploration of various approaches to integration of representations from a Lie algebra $\mbox{Lie} (G)$ to an algebraic group $G$ 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 $G$-stability.<br />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
- Subjects :
- Applied Mathematics
General Mathematics
Restricted representation
Representation (systemics)
Group Theory (math.GR)
Mathematics - Rings and Algebras
Representation theory
Exponential function
Algebra
Rings and Algebras (math.RA)
Algebraic group
Lie algebra
FOS: Mathematics
20G05 (primary), 17B45 (secondary)
Representation Theory (math.RT)
QA
Mathematics - Group Theory
Mathematics - Representation Theory
Group theory
Mathematics
Subjects
Details
- ISSN :
- 10886850 and 00029947
- Volume :
- 374
- Database :
- OpenAIRE
- Journal :
- Transactions of the American Mathematical Society
- Accession number :
- edsair.doi.dedup.....e37a58ce1f727f11f4d60c8ba2a028c7