Geodesic
Clifford algebras as superalgebras and quantization
Teoretičeskaâ i matematičeskaâ fizika, Tome 58 (1984) no. 2, pp. 229-232 
D. A. Leites. Clifford algebras as superalgebras and quantization. Teoretičeskaâ i matematičeskaâ fizika, Tome 58 (1984) no. 2, pp. 229-232. http://geodesic.mathdoc.fr/item/TMF_1984_58_2_a7/
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     title = {Clifford algebras as superalgebras and quantization},
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Voir la notice de l'article provenant de la source Math-Net.Ru

On supermanifolds there are two types of mechanics, to which there correspond superalgebras of functions with Poisson or Butan brackets (respectively, antibrackets). For them, quantizations are constructed in the following senses: 1) representations of the commutation relations, 2) deformation of the Poisson (respectively, Butan) superalgebra into the Lie superalgebra of differential operators, 3) analogs of the spinor representation of a symplectic (orthogonal) Lie algebra. The Clifford algebra is given a new interpretation. Invariant polynomials and Casimir operators on the Poisson superalgebra are described.

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