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Funktsional. Anal. i Prilozhen., 1982, Volume 16, Issue 2, Pages 47–63 (Mi faa1619)  

This article is cited in 29 scientific papers (total in 29 papers)

Invariant skew-symmetric differential operators on the line and Verma modules over the Virasoro algebra

B. L. Feigin, D. B. Fuchs


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English version:
Functional Analysis and Its Applications, 1982, 16:2, 114–126

Bibliographic databases:

UDC: 517.43+519.46
Received: 15.09.1981

Citation: B. L. Feigin, D. B. Fuchs, “Invariant skew-symmetric differential operators on the line and Verma modules over the Virasoro algebra”, Funktsional. Anal. i Prilozhen., 16:2 (1982), 47–63; Funct. Anal. Appl., 16:2 (1982), 114–126

Citation in format AMSBIB
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\by B.~L.~Feigin, D.~B.~Fuchs
\paper Invariant skew-symmetric differential operators on the line and Verma modules over the Virasoro algebra
\jour Funktsional. Anal. i Prilozhen.
\yr 1982
\vol 16
\issue 2
\pages 47--63
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\zmath{https://zbmath.org/?q=an:0505.58031}
\transl
\jour Funct. Anal. Appl.
\yr 1982
\vol 16
\issue 2
\pages 114--126
\crossref{https://doi.org/10.1007/BF01081626}
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    Citing articles on Google Scholar: Russian citations, English citations
    Related articles on Google Scholar: Russian articles, English articles

    This publication is cited in the following articles:
    1. Yu. A. Neretin, “Unitary representations with highest weight of the group of diffeomorphisms of a circle”, Funct. Anal. Appl., 17:3 (1983), 235–237  mathnet  crossref  mathscinet  zmath  isi
    2. B. L. Feigin, D. B. Fuchs, “Verma modules over the virasoro algebra”, Funct. Anal. Appl., 17:3 (1983), 241–242  mathnet  crossref  mathscinet  zmath  isi
    3. B. L. Feigin, “The semi-infinite homology of Kac–Moody and Virasoro Lie algebras”, Russian Math. Surveys, 39:2 (1984), 155–156  mathnet  crossref  mathscinet  zmath  adsnasa  isi
    4. A. B. Zamolodchikov, “Infinite additional symmetries in two-dimensional conformal quantum field theory”, Theoret. and Math. Phys., 65:3 (1985), 1205–1213  mathnet  crossref  mathscinet  isi
    5. A. S. Dzhumadil'daev, “Central extensions of the Zassenhaus algebra and their irreducible representations”, Math. USSR-Sb., 54:2 (1986), 457–474  mathnet  crossref  mathscinet  zmath
    6. I. V. Cherednik, “Functional realizations of basis representations of factoring Lie groups and algebras”, Funct. Anal. Appl., 19:3 (1985), 193–206  mathnet  crossref  mathscinet  zmath  isi
    7. A. B. Zamolodchikov, V. A. Fateev, “Representations of the algebra of “parafermion currents” of spin 4/3 in two-dimensional conformal field theory. Minimal models and the tricritical potts $Z_3$ model”, Theoret. and Math. Phys., 71:2 (1987), 451–462  mathnet  crossref  mathscinet  isi
    8. I. M. Krichever, S. P. Novikov, “Algebras of virasoro type, riemann surfaces and structures of the theory of solitons”, Funct. Anal. Appl., 21:2 (1987), 126–142  mathnet  crossref  mathscinet  zmath  isi
    9. I. M. Krichever, S. P. Novikov, “Virasoro-type algebras, Riemann surfaces and strings in Minkowsky space”, Funct. Anal. Appl., 21:4 (1987), 294–307  mathnet  crossref  mathscinet  zmath  isi
    10. S. L. Luk'yanov, “Quantization of the Gel'fand?Dikii brackets”, Funct. Anal. Appl., 22:4 (1988), 255–262  mathnet  crossref  mathscinet  zmath  isi
    11. P. G. Grinevich, A. Yu. Orlov, “Variations of the complex structure of Riemann surfaces by vector fields on a contour and objects of the KP theory. The Krichever–Novikov problem of the action on the Baker–Akhieser functions”, Funct. Anal. Appl., 24:1 (1991), 61–63  mathnet  crossref  mathscinet  zmath  isi
    12. D. V. Yur'ev, “Radius of univalence of a regular function”, Funct. Anal. Appl., 24:1 (1990), 80–81  mathnet  crossref  mathscinet  zmath  isi
    13. V. Yu. Ovsienko, “Contact analogues of the Virasoro algebra”, Funct. Anal. Appl., 24:4 (1990), 306–314  mathnet  crossref  mathscinet  zmath  isi
    14. 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
    15. V. Yu. Ovsienko, C. Roger, “Deformations of Poisson brackets and extensions of Lie algebras of contact vector fields”, Russian Math. Surveys, 47:6 (1992), 135–191  mathnet  crossref  mathscinet  zmath  adsnasa  isi
    16. D. V. Yur'ev, “On the determination of the radius of univalence of a regular function from its Taylor coefficients”, Russian Acad. Sci. Sb. Math., 75:1 (1993), 43–59  mathnet  crossref  mathscinet  zmath  adsnasa  isi
    17. P. Bowcock, G. Watts, “Null vectors, 3-point and 4-point functions in conformal field theory”, Theoret. and Math. Phys., 98:3 (1994), 350–356  mathnet  crossref  mathscinet  zmath  isi
    18. I. Yu. Tipunin, “The isomorphism between two-dimensional conformal field theories with the affine-$sl(2)$ and the $N=2$ superconformal symmetry algebras”, Theoret. and Math. Phys., 115:1 (1998), 396–409  mathnet  crossref  crossref  mathscinet  zmath  isi
    19. O. K. Sheinman, “The Fermion Model of Representations of Affine Krichever–Novikov Algebras”, Funct. Anal. Appl., 35:3 (2001), 209–219  mathnet  crossref  crossref  mathscinet  zmath  isi  elib
    20. Phys. Usp., 45:9 (2002), 915–954  mathnet  crossref  crossref  isi
    21. Neretin, YA, “Structures of boson and fermion Fock spaces in the space of symmetric functions”, Acta Applicandae Mathematicae, 81:1 (2004), 233  crossref  isi
    22. Gargoubi H., Mathonet P., Ovsienko V., “Symmetries of Modules of Differential Operators”, J. Nonlinear Math. Phys., 12:3 (2005), 348–380  crossref  isi
    23. O. K. Sheinman, “Krichever–Novikov Algebras, their Representations and Applications in Geometry and Mathematical Physics”, Proc. Steklov Inst. Math., 274, suppl. 1 (2011), S85–S161  mathnet  crossref  crossref  zmath
    24. Sergei E. Parkhomenko, “Free Field Construction of D-Branes in Rational Models of CFT and Gepner Models”, SIGMA, 4 (2008), 025, 14 pp.  mathnet  crossref  mathscinet  zmath
    25. S. Bouarroudj, “Ternary invariant differential operators acting on spaces of weighted densities”, Theoret. and Math. Phys., 158:2 (2009), 137–150  mathnet  crossref  crossref  mathscinet  zmath  adsnasa  isi
    26. D. V. Millionshchikov, “Algebra of Formal Vector Fields on the Line and Buchstaber's Conjecture”, Funct. Anal. Appl., 43:4 (2009), 264–278  mathnet  crossref  crossref  mathscinet  zmath  isi
    27. A. D. Mironov, S. A. Mironov, A. Yu. Morozov, A. A. Morozov, “Calculations in conformal theory needed for verifying the Alday–Gaiotto–Tachikawa hypothesis”, Theoret. and Math. Phys., 165:3 (2010), 1662–1698  mathnet  crossref  crossref  isi
    28. H. Itoyama, A. D. Mironov, A. Yu. Morozov, “Matching branches of a nonperturbative conformal block at its singularity divisor”, Theoret. and Math. Phys., 184:1 (2015), 891–923  mathnet  crossref  crossref  mathscinet  adsnasa  isi  elib
    29. D. V. Millionshchikov, “Virasoro singular vectors”, Funct. Anal. Appl., 50:3 (2016), 219–224  mathnet  crossref  crossref  mathscinet  zmath  isi  elib  elib
  • Функциональный анализ и его приложения Functional Analysis and Its Applications
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