G-systems and deformation of G-actions on R-d

Dherin, Benoit; Mencattini, Igor

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(Reference retrieved automatically from Web of Science through information on FAPESP grant and its corresponding number as mentioned in the publication by the authors.)

G-systems and deformation of G-actions on R-d

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Author(s):	Dherin, Benoit ^[1] ; Mencattini, Igor ^[2] Total Authors: 2
Affiliation:	^[1] Univ Calif Berkeley, Dept Stat, Berkeley, CA 94720 - USA ^[2] Univ Sao Paulo, ICMC USP, BR-13566590 Sao Carlos, SP - Brazil Total Affiliations: 2
Document type:	Journal article
Source:	Journal of Mathematical Physics; v. 55, n. 1 JAN 2014.
Web of Science Citations:	1
Abstract
Given a (smooth) action phi of a Lie group G on R-d we construct a differential graded algebra whose Maurer-Cartan elements are in one-to-one correspondence with some class of deformations of the (induced) G-action on C-infinity(R-d){[}{[}(h) over bar]]. In the final part of this note we discuss the cohomological obstructions to the existence and to the uniqueness (in a sense to be clarified) of such deformations. (C) 2014 AIP Publishing LLC. (AU)

FAPESP's process:	10/15069-8 - Monoidal geometries
Grantee:	Benoit Richard Umbert Dherin
Support Opportunities:	Research Grants - Young Investigators Grants


FAPESP's process:	10/19365-0 - Monoidal geometries
Grantee:	Benoit Richard Umbert Dherin
Support Opportunities:	Scholarships in Brazil - Young Researchers

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