The Virasoro Algebra and the KP Hierarchy

  • Hirofumi Yamada
Conference paper
Part of the Mathematical Sciences Research Institute Publications book series (MSRI, volume 4)

Abstract

A certain central extension of the Lie algebra of vector fields on the circle is called by physicists “the Virasoro algebra”. Mathematicians started to develop a representation theory of this algebra quite recently. The study of the highest weight representations of the Virasoro algebra was started by V. Kac ([4, 5]).

Keywords

Soliton Wallach 

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References

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Copyright information

© Springer Science+Business Media New York 1985

Authors and Affiliations

  • Hirofumi Yamada
    • 1
  1. 1.Hiroshima UniversityHiroshima 730Japan

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