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Title: G-systems and deformation of G-actions on R{sup d}

Given a (smooth) action φ of a Lie group G on R{sup 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{sup ∞}(R{sup d})[[ℏ]]. 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.
Authors:
 [1] ;  [2]
  1. Department of Statistics, University of California, Berkeley, California 94720-3840 (United States)
  2. ICMC-USP, Universidade de Sao Paulo, Avenida Trabalhador Sao-carlense, 400 Centro, CEP: 13566-590, Sao Carlos, SP (Brazil)
Publication Date:
OSTI Identifier:
22251656
Resource Type:
Journal Article
Resource Relation:
Journal Name: Journal of Mathematical Physics; Journal Volume: 55; Journal Issue: 1; Other Information: (c) 2014 AIP Publishing LLC; Country of input: International Atomic Energy Agency (IAEA)
Country of Publication:
United States
Language:
English
Subject:
71 CLASSICAL AND QUANTUM MECHANICS, GENERAL PHYSICS; ALGEBRA; LIE GROUPS; MONTE CARLO METHOD; POLYNOMIALS