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Inventiones mathematicae

, Volume 72, Issue 1, pp 57–75 | Cite as

Characters of irreducible representations of the Lie algebra of vector fields on the circle

  • Alvany Rocha-Caridi
  • Nolan R. Wallach
Article

Keywords

Vector Field Irreducible Representation 
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References

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    Goncharova L.V.: The cohomologies of Lie algebras of formal vector fields on the line. Functs. Anal. Prilozhen.7, No. 2, 6–14 (1973); No. 3, 33–44 (1973)Google Scholar
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    Kac, V.G.: Some problems on infinite dimensional Lie algebras and their representations (for AMS meeting at Amherst, 1981). PreprintGoogle Scholar
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    Rocha-Caridi, A.: Resolutions of irreducible highest weight modules over infinite dimensional graded Lie algebras, Proceedings of the 1981 Conference on Lie algebras and related topics. Lecture Notes in Mathematics, Vol. 933 Berlin-Heidelberg-New York: Springer 1982Google Scholar
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    Rocha-Caridi, A., Wallach, N.R.: Projective modules over graded Lie algebras I. Math. Z180, 151–177 (1982)Google Scholar
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    Rocha-Caridi, A., Wallach, N.R.: Highest weight modules over graded lie algebras: Resolutions. Filtrations and character formulas. To appear in the transactions of the A.M.S.Google Scholar
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    Shapovalov, N.N.: On a bilinear form on the universal enveloping algebra of a complex semi-simple Lie algebra. Functional Anal. Appl.6, 307–312 (1972)Google Scholar

Copyright information

© Springer-Verlag 1983

Authors and Affiliations

  • Alvany Rocha-Caridi
    • 1
  • Nolan R. Wallach
    • 1
  1. 1.Department of MathematicsRutgers UniversityNew BurnswickUSA

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