Advertisement

Communications in Mathematical Physics

, Volume 86, Issue 1, pp 49–54 | Cite as

The Virasoro algebra

  • Irving Kaplansky
Article

Abstract

Three theroems are proved. With suitable hypotheses in each case, characterizations are found for the Virasoro algebra, for some of its representations, and for the Ramond-Neveu-Schwarz superalgebra built around the Virasoro algebra.

Keywords

Neural Network Statistical Physic Complex System Nonlinear Dynamics Quantum Computing 
These keywords were added by machine and not by the authors. This process is experimental and the keywords may be updated as the learning algorithm improves.

Preview

Unable to display preview. Download preview PDF.

Unable to display preview. Download preview PDF.

References

  1. 1.
    Frenkel, I. B., Kac, V. G.: Invent. Math.62, 23–66 (1980)Google Scholar
  2. 2.
    Kac, V. G.: Group theoretical methods in physics. In: Lecture Notes in Physics Vol.94, pp. 441–445, Berlin, Heidelberg, New York: Springer 1979Google Scholar
  3. 3.
    Neveu, A., Schwarz, J. H.: Nucl. Phys. B31, 86–112 (1971)Google Scholar
  4. 4.
    Ramond, P.: Phys. Rev. D3, 2415–2418 (1971)Google Scholar
  5. 5.
    Ramond, P., Schwarz, J. H.: Phys. Lett. 64B, 75–77 (1976)Google Scholar
  6. 6.
    Zassenhaus, H.: Abh. Math. Sem. Univ. Hamburg13, 1–100 (1939)Google Scholar

Copyright information

© Springer-Verlag 1982

Authors and Affiliations

  • Irving Kaplansky
    • 1
  1. 1.Department of MathematicsUniversity of ChicagoChicagoUSA

Personalised recommendations