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References
Faddeev L.D. Operator anomaly for the Hauss law.// Preprint of LOMI P-5-84, Leningrad, 1984.
Faddeev L.D., Shatashvili S.L. Algebraic and Hamiltonian method in the theory of non-Abelian anomalies. // Theor. and Math. Physics, 1984, v.60, N3.
Dubrovin B.A., Krichever I.M., Novikov S.P. Integrable systems.// Modern problems of mathematics. Itogi nauki i techniki. M.:VINITI 1985, v.4.
Leggett A. The spin dynamics of an anisotropic Fermi superfluid. // Ann. of Phys., 1974, v.85, N1.
Sklyanin V.K. On certain algebraic structures related with the Yang-Baxter equation. //Funk. Analysis and Applications, 1982, v.16, N4.
Bayen F., Flato M., Fronsdal C., Lichnerowicz A., Sternheimer D. Defformation theory and quantization.// Ann. of Phys., 1978, v.111, N1.
Drinfeld V.G. On constant semi-classical solutions of the quantum Yang-Baxter equation.// Dokl. AN SSSR, 1983, v.273, N3.
Lichnerowicz A. Les Varietes de Poisson et leurs Algebres de Lie associess.// J.Diff. Geom., 1977, v.12, N12.
Vorob'ev Yu.M., Karasev M.V. Corrections to classical dynamics and Quantization conditions arising under deformation of the Poisson brackets.// Dokl. AN SSSR, 1987, v.247, N6.
Vorob'ev Yu.M., Karasev M.V. On Poissonian manifolds and Schouten bracket.// Funk. Analysis and Applications, 1988, v.22, N1.
Store R. Algebraic structure and topological origin of anomalies. //Preprint /LAPP-TH-94, 1983.
Zumino B. Chiral anomalies and differential geometry.//Preprint/ LBL-16747, UCB-PTH-83110, Berkeley, 1983.
Vinogradov A.M., Krasilchshik I.L. What is the Hamiltonian formalism?//Uspekhi Math. nauk, 1975, v.30, N1, p.173–198.
Krasilchshik I.S. Schouten brackets and canonical algebras.// Global analysis and mathematical physics. — Voronezh:izd. VGU, 1987, p.73–94.(See Lect. Notes Math., 1988, v. 1334).
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Vorob'ev, Y.M., Karasev, M.V. (1990). Deformation and cohomologies of Poisson brackets. In: Borisovich, Y.G., Gliklikh, Y.E., Vershik, A.M. (eds) Global Analysis - Studies and Applications IV. Lecture Notes in Mathematics, vol 1453. Springer, Berlin, Heidelberg. https://doi.org/10.1007/BFb0085961
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DOI: https://doi.org/10.1007/BFb0085961
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