Abstract
We give explicit formulas for a *-product on the cotangent bundle T * G of a Lie group G; these formulas involve on the one hand the multiplicative structure of the universal enveloping algebra U(G) of the Lie algebra G of G and on the other hand bidifferential operators analogous to the ones used by Moyal to define a *-product on IR2n.
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Chargé de recherches au FNRS, on leave of absence from Université libre de Bruxelles.
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Gutt, S. An explicit *-product on the cotangent bundle of a Lie group. Letters in Mathematical Physics 7, 249–258 (1983). https://doi.org/10.1007/BF00400441
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DOI: https://doi.org/10.1007/BF00400441