Skip to main content Accessibility help

We use cookies to distinguish you from other users and to provide you with a better experience on our websites. Close this message to accept cookies or find out how to manage your cookie settings.

Close cookie message
×
Hostname: page-component-78c5997874-v9fdk Total loading time: 0 Render date: 2024-11-06T09:19:41.044Z Has data issue: false hasContentIssue false

3 - Pre-Lie Algebras and the Gauge Group

Published online by Cambridge University Press:  19 August 2023

Vladimir Dotsenko ,
Sergey Shadrin  and
Bruno Vallette
Vladimir Dotsenko
Affiliation:
Université de Strasbourg
Sergey Shadrin
Affiliation:
Universiteit van Amsterdam
Bruno Vallette
Affiliation:
Université Sorbonne Paris Nord
Get access

Summary

In this chapter, we recall the necessary definitions and results concerning pre- Lie algebras and the symmetries of their Maurer–Cartan elements, and we generalise M. Lazard’s treatment of Lie theory to develop the integration theory of complete pre-Lie algebras.

Type
Chapter
Information
Maurer–Cartan Methods in Deformation Theory
The Twisting Procedure
 , pp. 48 - 60
Publisher: Cambridge University Press
Print publication year: 2023

Access options

Get access to the full version of this content by using one of the access options below. (Log in options will check for institutional or personal access. Content may require purchase if you do not have access.)

Save book to Kindle

To save this book to your Kindle, first ensure [email protected] is added to your Approved Personal Document E-mail List under your Personal Document Settings on the Manage Your Content and Devices page of your Amazon account. Then enter the ‘name’ part of your Kindle email address below. Find out more about saving to your Kindle.

Note you can select to save to either the @free.kindle.com or @kindle.com variations. ‘@free.kindle.com’ emails are free but can only be saved to your device when it is connected to wi-fi. ‘@kindle.com’ emails can be delivered even when you are not connected to wi-fi, but note that service fees apply.

Find out more about the Kindle Personal Document Service.

Available formats
×

Save book to Dropbox

To save content items to your account, please confirm that you agree to abide by our usage policies. If this is the first time you use this feature, you will be asked to authorise Cambridge Core to connect with your account. Find out more about saving content to Dropbox.

Available formats
×

Save book to Google Drive

To save content items to your account, please confirm that you agree to abide by our usage policies. If this is the first time you use this feature, you will be asked to authorise Cambridge Core to connect with your account. Find out more about saving content to Google Drive.

Available formats
×