Publications Meetings The Profession Membership Programs Math Samplings Policy & Advocacy In the News About the AMS

Remote Access
Green Open Access
Proceedings of the American Mathematical Society
Proceedings of the American Mathematical Society
ISSN 1088-6826(online) ISSN 0002-9939(print)



Fine structures inside the PreLie operad

Author: Frédéric Chapoton
Journal: Proc. Amer. Math. Soc. 141 (2013), 3723-3737
MSC (2010): Primary 05C05, 18D50; Secondary 17A30
Published electronically: July 16, 2013
MathSciNet review: 3091764
Full-text PDF

Abstract | References | Similar Articles | Additional Information

Abstract: This article aims at a detailed analysis of the $ \operatorname {PreLie}$ operad. We obtain a concrete description (as a morphism) of the relationship between the anticyclic structure of $ \operatorname {PreLie}$ and the generators of $ \operatorname {PreLie}$ as a $ \operatorname {Lie}$-module, which was previously known only at the level of characters. Building on this, we obtain a surprising inclusion of the cyclic Lie module in the $ \operatorname {PreLie}$ operad. We conjecture that the image of this inclusion generates an interesting free sub-operad.

References [Enhancements On Off] (What's this?)

Similar Articles

Retrieve articles in Proceedings of the American Mathematical Society with MSC (2010): 05C05, 18D50, 17A30

Retrieve articles in all journals with MSC (2010): 05C05, 18D50, 17A30

Additional Information

Frédéric Chapoton
Affiliation: Institut Camille Jordan, Université Claude Bernard Lyon 1, 21 Avenue Claude Bernard, 69622 Villeurbanne Cedex, France

Received by editor(s): December 12, 2011
Received by editor(s) in revised form: January 17, 2012
Published electronically: July 16, 2013
Communicated by: Jim Haglund
Article copyright: © Copyright 2013 American Mathematical Society
The copyright for this article reverts to public domain 28 years after publication.

Comments: Email Webmaster

© Copyright , American Mathematical Society
Contact Us · Sitemap · Privacy Statement

Connect with us Facebook Twitter Google+ LinkedIn Instagram RSS feeds Blogs YouTube Podcasts Wikipedia