Integration of modules – II: Exponentials
| Autor: | Matthew Westaway, Dmitriy Rumynin |
|---|---|
| Rok vydání: | 2021 |
| Předmět: |
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 |
| Zdroj: | Transactions of the American Mathematical Society |
| ISSN: | 1088-6850 0002-9947 |
| DOI: | 10.1090/tran/8449 |
| Popis: | 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. 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 |
| Databáze: | OpenAIRE |
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