Three algebraic structures of quantum projective ($\mathrm{sl}(2,\mathbb C)$-invariant) field theory
Teoretičeskaâ i matematičeskaâ fizika, Tome 97 (1993) no. 3, pp. 336-347
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Systematic studies are made of three algebraic structures of quantum projective ($\mathrm{sl}(2,\mathbb C)$-invariant) field theory: the operator algebra $\mathrm{Vert}(\mathrm{sl}(2,\mathbb C))$, the infinite dimensional $R$-matrix $R_{\mathrm{proj}}(u)$ and deformation $\mathcal T_\hbar(\mathbb R)$ of the algebra $\mathcal T(\mathbb R)$ of weighted-shift operators, which is associated with expansion of the renormalized pointwise product of vertex operator fields.
@article{TMF_1993_97_3_a1,
author = {S. A. Bychkov and D. V. Yur'ev},
title = {Three algebraic structures of quantum projective ($\mathrm{sl}(2,\mathbb C)$-invariant) field theory},
journal = {Teoreti\v{c}eska\^a i matemati\v{c}eska\^a fizika},
pages = {336--347},
publisher = {mathdoc},
volume = {97},
number = {3},
year = {1993},
language = {ru},
url = {http://geodesic.mathdoc.fr/item/TMF_1993_97_3_a1/}
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S. A. Bychkov; D. V. Yur'ev. Three algebraic structures of quantum projective ($\mathrm{sl}(2,\mathbb C)$-invariant) field theory. Teoretičeskaâ i matematičeskaâ fizika, Tome 97 (1993) no. 3, pp. 336-347. http://geodesic.mathdoc.fr/item/TMF_1993_97_3_a1/