Geodesic
QPFT operator algebras and commutative exterior differential calculus
Teoretičeskaâ i matematičeskaâ fizika, Tome 93 (1992) no. 1, pp. 32-38 
D. V. Yur'ev. QPFT operator algebras and commutative exterior differential calculus. Teoretičeskaâ i matematičeskaâ fizika, Tome 93 (1992) no. 1, pp. 32-38. http://geodesic.mathdoc.fr/item/TMF_1992_93_1_a2/
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     author = {D. V. Yur'ev},
     title = {QPFT operator algebras and commutative exterior differential calculus},
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Voir la notice de l'article provenant de la source Math-Net.Ru

The reduction of the structure theory of the operator algebras of quantum projective ($\operatorname{sl}(2,\mathbb{C}$)-invariant) field theory (QPFT operator algebras) to a commutative exterior differential calculus by means of the operation of renormalization of a pointwise product of operator fields is described.

[1] Yurev D. V., Algebra i analiz, 2:2 (1990), 209–226 ; 3:3 (1991), 197–205 ; ТМФ, 86:3 (1991), 338–343 ; УМН, 46:4 (1991), 115–138 | MR | Zbl | MR | Zbl | MR | Zbl | MR | Zbl

[2] Frenkel I. B., Huang Yi-Zhi, Lepowsky J., On axiomatic approach to vertex operator algebras and modules, preprint No 31, Rutgers Univ., New Brunswick, 1990 | MR

[3] Juriev D., J. Math. Phys., 33:7 (1992) | MR

[4] Patashinskii A. Z., Pokrovskii V. L., Fluktuatsionnaya teoriya fazovykh perekhodov, Nauka, M., 1982 ; Frenkel I., Lepowsky J., Meurman A., Vertex operator algebras and the Monster, Academic Press, 1988 ; Goddard P., “Meromorphic conformal field theory”, Infinite-dimensional Lie algebras and groups (Luminy-Marseille, 1988), Adv. Ser. Math. Phys., 7, World Sci. Publ., Teaneck, NJ, 1989, 556–587 | MR | MR | MR

[5] Witten E., Nucl. Phys. B, 268 (1986), 253–291 ; Commun. Math. Phys., 113 (1988), 529–600 | DOI | MR | DOI | MR