Integration of modules – II: exponentials

Dmitriy Rumynin; Matthew Westaway

doi:10.1090/tran/8449

Integration of modules – II: exponentials

Dmitriy Rumynin, Matthew Westaway

Mathematics

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Abstract

We continue our exploration of various approaches to integration of representations from a Lie algebra 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.

Original language	English
Pages (from-to)	6797-6813
Journal	Transactions of the American Mathematical Society
Volume	374
Issue number	10
Early online date	2 Jul 2021
DOIs	https://doi.org/10.1090/tran/8449
Publication status	Published - Oct 2021

Bibliographical note

Funding Information:
Received by the editors July 23, 2018, and, in revised form, June 3, 2020. 2020 Mathematics Subject Classification. Primary 20G05; Secondary 17B45. Key words and phrases. Restricted representation, Frobenius kernel, exponential, representation, Kac-Moody group. The first author was partially supported within the framework of the HSE University Basic Research Program and the Russian Academic Excellence Project ‘5–100’, as well as by the Max Planck Institute for Mathematics, Bonn. The second author was supported during this research by a PhD studentship from the Engineering and Physical Sciences Research Council.

Publisher Copyright:
© 2021 American Mathematical Society. All rights reserved.

Keywords

Exponential
Frobenius kernel
Kac-Moody group
Representation
Restricted representation

ASJC Scopus subject areas

General Mathematics
Applied Mathematics

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10.1090/tran/8449Licence: None: All rights reserved

rumynind2021integration
First published in Trans. Amer. Math. Soc., published by the American Mathematical Society. © 2021 American Mathematical Society.
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Cite this

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abstract = "We continue our exploration of various approaches to integration of representations from a Lie algebra 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.",

keywords = "Exponential, Frobenius kernel, Kac-Moody group, Representation, Restricted representation",

author = "Dmitriy Rumynin and Matthew Westaway",

note = "Funding Information: Received by the editors July 23, 2018, and, in revised form, June 3, 2020. 2020 Mathematics Subject Classification. Primary 20G05; Secondary 17B45. Key words and phrases. Restricted representation, Frobenius kernel, exponential, representation, Kac-Moody group. The first author was partially supported within the framework of the HSE University Basic Research Program and the Russian Academic Excellence Project {\textquoteleft}5–100{\textquoteright}, as well as by the Max Planck Institute for Mathematics, Bonn. The second author was supported during this research by a PhD studentship from the Engineering and Physical Sciences Research Council. Publisher Copyright: {\textcopyright} 2021 American Mathematical Society. All rights reserved.",

year = "2021",

month = oct,

doi = "10.1090/tran/8449",

language = "English",

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pages = "6797--6813",

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AU - Westaway, Matthew

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PY - 2021/10

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N2 - We continue our exploration of various approaches to integration of representations from a Lie algebra 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.

AB - We continue our exploration of various approaches to integration of representations from a Lie algebra 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.

KW - Exponential

KW - Frobenius kernel

KW - Kac-Moody group

KW - Representation

KW - Restricted representation

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JO - Transactions of the American Mathematical Society

JF - Transactions of the American Mathematical Society

IS - 10

ER -

Integration of modules – II: exponentials

Abstract

Bibliographical note

Keywords

ASJC Scopus subject areas

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