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Algebra i Analiz, 1991, Volume 3, Issue 3, Pages 197–205 (Mi aa261)  

This article is cited in 11 scientific papers (total in 11 papers)

Research Papers

The algebra Vert(Cvir,c) of vertex operators for the Virasoro algebra

D. V. Yur'ev

M. V. Lomonosov Moscow State University
Received: 03.06.1990
Bibliographic databases:
Document Type: Article
Language: Russian
Citation: D. V. Yur'ev, “The algebra Vert(Cvir,c) of vertex operators for the Virasoro algebra”, Algebra i Analiz, 3:3 (1991), 197–205; St. Petersburg Math. J., 3:3 (1992), 679–686
Citation in format AMSBIB
\Bibitem{Yur91}
\by D.~V.~Yur'ev
\paper The algebra $\mathrm{Vert}(\mathbb C\mathrm{vir},c)$ of vertex operators for the Virasoro algebra
\jour Algebra i Analiz
\yr 1991
\vol 3
\issue 3
\pages 197--205
\mathnet{http://mi.mathnet.ru/aa261}
\mathscinet{http://mathscinet.ams.org/mathscinet-getitem?mr=1150560}
\zmath{https://zbmath.org/?q=an:0791.17028|0749.17037}
\transl
\jour St. Petersburg Math. J.
\yr 1992
\vol 3
\issue 3
\pages 679--686
Linking options:
  • https://www.mathnet.ru/eng/aa261
  • https://www.mathnet.ru/eng/aa/v3/i3/p197
  • This publication is cited in the following 11 articles:
    1. Juriev, DV, “Infinite-dimensional geometry and quantum field theory of strings. II. Infinite-dimensional noncommutative geometry of a self-interacting string field”, Russian Journal of Mathematical Physics, 4:3 (1996), 287  mathscinet  zmath  isi
    2. D. V. Yur'ev, “Complex projective geometry and quantum projective field theory”, Theoret. and Math. Phys., 101:3 (1994), 1387–1403  mathnet  crossref  mathscinet  zmath  isi
    3. 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
    4. S. A. Bychkov, D. V. Yur'ev, “Three algebraic structures of quantum projective ($\mathrm{sl}(2,\mathbb C)$-invariant) field theory”, Theoret. and Math. Phys., 97:3 (1993), 1333–1339  mathnet  crossref  mathscinet  zmath  isi
    5. D. V. Yur'ev, “Quantum projective field theory: Quantum-field analogs of the Euler formulas”, Theoret. and Math. Phys., 92:1 (1992), 814–816  mathnet  crossref  mathscinet  isi
    6. D. V. Yur'ev, “QPFT operator algebras and commutative exterior differential calculus”, Theoret. and Math. Phys., 93:1 (1992), 1101–1105  mathnet  crossref  mathscinet  zmath  isi
    7. S. A. Bychkov, S. V. Plotnikov, D. V. Yur'ev, “Folding of Verma modules over the Lie algebra $\mathfrak{sl}(2, \mathbb C)$ and hidden $\mathfrak{sl}(3, \mathbb C)$-symmetries in a projective quantum field theory”, Russian Math. Surveys, 47:3 (1992), 169–169  mathnet  crossref  mathscinet  zmath  adsnasa  isi
    8. S. A. Bychkov, “Fubini–Veneziano fields in Verma projective quasifibrations over $\mathfrak{sl}(2, \mathbb C)$”, Russian Math. Surveys, 47:4 (1992), 204–205  mathnet  crossref  mathscinet  zmath  adsnasa  isi
    9. D. V. Yur'ev, “Quantum conformal field theory as an infinite-dimensional non-commutative geometry”, Russian Math. Surveys, 46:4 (1991), 135–163  mathnet  crossref  mathscinet  zmath  adsnasa  isi
    10. S. A. Bychkov, D. V. Yur'ev, “Fubini-Veneziano fields in quantum projective field theory”, Russian Math. Surveys, 46:5 (1991), 185–186  mathnet  crossref  mathscinet  zmath  adsnasa  isi
    11. D. V. Yur'ev, “Classification of vertex operators in two-dimensional $\operatorname{sl} (2,\mathbb C)$-invariant quantum field theory”, Theoret. and Math. Phys., 86:3 (1991), 231–235  mathnet  crossref  mathscinet  zmath  isi
    Citing articles in Google Scholar: Russian citations, English citations
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    Алгебра и анализ St. Petersburg Mathematical Journal
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