Geodesic
Associativity and Operator Hamiltonian Quantization of Gauge Theories
Teoretičeskaâ i matematičeskaâ fizika, Tome 136 (2003) no. 3, pp. 339-364

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We show that the associative algebra structure can be incorporated in the BRST quantization formalism for gauge theories such that extension from the corresponding Lie algebra to the associative algebra is achieved using operator quantization of reducible gauge theories. The BRST differential that encodes the associativity of the algebra multiplication is constructed as a quadratic second-order differential operator on the bar resolution.
Mots-clés : associative algebras
Keywords: BRST differential, bar resolution, noncommutative differential forms. 
I. A. Batalin; A. M. Semikhatov. Associativity and Operator Hamiltonian Quantization of Gauge Theories. Teoretičeskaâ i matematičeskaâ fizika, Tome 136 (2003) no. 3, pp. 339-364. http://geodesic.mathdoc.fr/item/TMF_2003_136_3_a0/
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