Deformation quantization with generators and relations

Damien Calaque (1) , Giovanni Felder (2) , Carlo A. Rossi (2)

1 ICJ - Institut Camille Jordan
2 ETH Zürich - Eidgenössische Technische Hochschule - Swiss Federal Institute of Technology [Zürich]

In this paper we prove a conjecture of B. Shoikhet which claims that two quantization procedures arising from Fourier dual constructions actually coincide.

Domaines: Algèbres quantiques [math.QA]; Physique mathématique [math-ph]; Physique mathématique [math-ph]

Damien Calaque, Giovanni Felder, Carlo A. Rossi. Deformation quantization with generators and relations. Journal of Algebra, 2011, 337 (1), pp.1-12. ⟨10.1016/j.jalgebra.2011.03.037⟩. ⟨hal-00438980⟩