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

Journal Article · Wed Jan 15 00:00:00 EST 2014 · Journal of Mathematical Physics

DOI:https://doi.org/10.1063/1.4861600· OSTI ID:22251656

Dherin, Benoit ^[1]; Mencattini, Igor ^[2]

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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)

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.

• OSTI ID: 22251656
• Journal Information: Journal of Mathematical Physics, Vol. 55, Issue 1; Other Information: (c) 2014 AIP Publishing LLC; Country of input: International Atomic Energy Agency (IAEA); ISSN 0022-2488
• Country of Publication: United States
• Language: English

Related Subjects

71 CLASSICAL AND QUANTUM MECHANICS
GENERAL PHYSICS
ALGEBRA
LIE GROUPS
MONTE CARLO METHOD
POLYNOMIALS