Kontsevich Deformation Quantization on Lie Algebras
Nabiha Ben Amar, Mouna Chaabouni, Mabrouka Hfaiedh (2007)
Bollettino dell'Unione Matematica Italiana
Similarity:
We consider Kontsevich star product on the dual of a general Lie algebra g equipped with the linear Poisson bracket. We show that this star product provides a deformation quantization by partial embeddings in the direction of the Poisson bracket.