General form of the *-product on the Grassmann algebra

Theoretical and Mathematical Physics

Volumn 127, Issue 2, 2001, Pages 619-631

  Tyutin, I V ^a  

^a LEBEDEV PHYSICAL INSTITUTE   (Russian Federation)

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EID: 0035537160     PISSN: 00405779     EISSN: None     Source Type: Journal    
DOI: 10.1023/A:1010445502845     Document Type: Article

References (16)

1. 1. M. V. Karasev and V. P. Maslov, Nonlinear Poisson Brackets: Geometry and Quantization [in Russian], Nauka, Moscow (1991); English transl., Am. Math. Soc., Providence, RI (1993).
2. 1. M. V. Karasev and V. P. Maslov, Nonlinear Poisson Brackets: Geometry and Quantization [in Russian], Nauka, Moscow (1991); English transl., Am. Math. Soc., Providence, RI (1993).
3. 2. V. Flato and D. Sternheimer, Lett. Math. Phys., 22, 155 (1991).
4. 3. P. Bonneau, V. Flato, and G. Pinczon, Lett. Math. Phys., 25, 75 (1992).
5. 4. N. Nekrasov, "Trieste lectures on solitons in noncommutative gauge theories," hep-th/0011095 (2000).
6. 5. A. Schwarz, "Gauge theories on noncommutative spaces," hep-th/0011261 (2000).
7. 6. B. Fedosov, Deformation Quantization and Index Theory, Akad. Verlag, Berlin (1996).
8. 7. M. Kontsevich, "Deformation quantization of Poisson manifolds: I," q-alg/9709040 (1997).
9. 8. M. Grigoriev and S. Lyakhovich, "Fedosov deformation quantization as BRST theory," hep-th/0003114 (2000).
10. 9. B. Fedosov, J. Diff. Geom., 40, 213 (1994).
11. 10. H. Groenewold, Physica, 12, 405 (1946).
12. 11. F. A. Berezin, Sov. Phys. Usp., 23, 763 (1980).
13. 12. I. A. Batalin and E. S. Fradkin, Riv. Nuovo Cimento, 9, 1 (1986).
14. 13. E. Fradkin and V. Linetsky, Mod. Phys. Lett. A, 6, 217 (1991).
15. 14. E. Gozzi and M. Reuter, Mod. Phys. Lett. A, 8, 1433 (1993).
16. 15. I. A. Batalin and I. V. Tyutin, J. Math. Phys., 34, 369 (1993).