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TMF, 1993, Volume 97, Number 3, Pages 336–347 (Mi tmf1743)  

This article is cited in 2 scientific papers (total in 2 papers)

Three algebraic structures of quantum projective ($\mathrm{sl}(2,\mathbb C)$-invariant) field theory

S. A. Bychkova, D. V. Yur'evb

a Moscow State Geological Prospecting Academy
b Scientific Research Institute for System Studies of RAS

Abstract: 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.

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English version:
Theoretical and Mathematical Physics, 1993, 97:3, 1333–1339

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Received: 17.09.1992

Citation: S. A. Bychkov, D. V. Yur'ev, “Three algebraic structures of quantum projective ($\mathrm{sl}(2,\mathbb C)$-invariant) field theory”, TMF, 97:3 (1993), 336–347; Theoret. and Math. Phys., 97:3 (1993), 1333–1339

Citation in format AMSBIB
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\by S.~A.~Bychkov, D.~V.~Yur'ev
\paper Three algebraic structures of quantum projective ($\mathrm{sl}(2,\mathbb C)$-invariant) field theory
\jour TMF
\yr 1993
\vol 97
\issue 3
\pages 336--347
\mathnet{http://mi.mathnet.ru/tmf1743}
\mathscinet{http://www.ams.org/mathscinet-getitem?mr=1257874}
\zmath{https://zbmath.org/?q=an:0823.17043}
\transl
\jour Theoret. and Math. Phys.
\yr 1993
\vol 97
\issue 3
\pages 1333--1339
\crossref{https://doi.org/10.1007/BF01015762}
\isi{http://gateway.isiknowledge.com/gateway/Gateway.cgi?GWVersion=2&SrcApp=PARTNER_APP&SrcAuth=LinksAMR&DestLinkType=FullRecord&DestApp=ALL_WOS&KeyUT=A1993NL72600002}


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    Citing articles on Google Scholar: Russian citations, English citations
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    This publication is cited in the following articles:
    1. D. V. Yur'ev, “Quantum projective field theory: Quantum-field analogs of the Euler–Arnol'd equations in projective $G$ multiplets”, Theoret. and Math. Phys., 98:2 (1994), 147–161  mathnet  crossref  mathscinet  zmath  isi
    2. D. V. Yur'ev, “Belavkin–Kolokoltsov watch-dog effects in interactively controlled stochastic dynamical videosystems”, Theoret. and Math. Phys., 106:2 (1996), 276–290  mathnet  crossref  crossref  mathscinet  zmath  isi
  • Теоретическая и математическая физика Theoretical and Mathematical Physics
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