An explicit *-product on the cotangent bundle of a Lie group |
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Authors: | S. Gutt |
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Affiliation: | (1) Harvard University, 02138 Cambridge, MA, USA |
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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.Chargé de recherches au FNRS, on leave of absence from Université libre de Bruxelles. |
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