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Kontsevich Deformation Quantization on Lie Algebras

Nabiha Ben Amar; Mouna Chaabouni; Mabrouka Hfaiedh — 2007

Bollettino dell'Unione Matematica Italiana

We consider Kontsevich star product on the dual $\mathfrak{g}^{*}$ 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.

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