Vol. 301, No. 2, 2019

Download this article
Download this article For screen
For printing
Recent Issues
Vol. 309: 1  2
Vol. 308: 1  2
Vol. 307: 1  2
Vol. 306: 1  2
Vol. 305: 1  2
Vol. 304: 1  2
Vol. 303: 1  2
Vol. 302: 1  2
Online Archive
The Journal
Editorial Board
Submission Guidelines
Submission Form
Policies for Authors
ISSN: 1945-5844 (e-only)
ISSN: 0030-8730 (print)
Special Issues
Author Index
To Appear
Other MSP Journals
This article is available for purchase or by subscription. See below.
Integration of modules I: stability

Dmitriy Rumynin and Matthew Westaway

Vol. 301 (2019), No. 2, 575–600
DOI: 10.2140/pjm.2019.301.575

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.

PDF Access Denied

However, your active subscription may be available on Project Euclid at

We have not been able to recognize your IP address as that of a subscriber to this journal.
Online access to the content of recent issues is by subscription, or purchase of single articles.

Please contact your institution's librarian suggesting a subscription, for example by using our journal-recom­mendation form. Or, visit our subscription page for instructions on purchasing a subscription.

You may also contact us at contact@msp.org
or by using our contact form.

Or, you may purchase this single article for USD 40.00:

Frobenius kernel, representation, cohomology, obstructions
Mathematical Subject Classification 2010
Primary: 20G05
Secondary: 17B45
Received: 7 May 2018
Revised: 7 December 2018
Accepted: 27 December 2018
Published: 24 October 2019
Dmitriy Rumynin
Mathematics Institute
Zeeman Building
University of Warwick
United Kingdom
Matthew Westaway
Mathematics Institute
Zeeman Building
University of Warwick
United Kingdom