Representations of classical lie superalgebras

Chapter III. Quantum Field Theory And General Relativity
Part of the Lecture Notes in Mathematics book series (LNM, volume 676)


Dynkin Diagram Cartan Subalgebra Borel Subalgebra Borel Subalgebras Chevalley Theorem 
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  1. [1]
    V. G. Kac, Lie superalgebras, Advances in Math., 26, no. 1 (1977), 8–96.MathSciNetzbMATHCrossRefGoogle Scholar
  2. [2]
    V. G. Kac, Characters of typical representations of classical Lie superalgebras, Communications in Algebra, 5(8) (1977), 889–897.MathSciNetzbMATHCrossRefGoogle Scholar
  3. [3]
    L. Corwin, Y. Ne'emen, S. Sternberg, Graded Lie algebras in mathematics and physics, Rev. Mod. Phys. 47 (1975), 573–604.zbMATHCrossRefGoogle Scholar
  4. [4]
    V. G. Kac, Infinite-dimensional algebras, Dedekind's η-function, classical Möbius function and the very strange formula, Advances in Math., to appear.Google Scholar
  5. [5]
    I. N. Bernstein, I. M. Gelfand, S. I. Gelfand, Structure of representations generated by vectors of highest weight, Funk. Anal. Appl., 5 (1971), 1–9.MathSciNetzbMATHCrossRefGoogle Scholar
  6. [6]
    D. Ž. Djoković and G. Hochschild, Semi-simplicity of z2-graded Lie algebras II, Illinois J. Math. 20 (1976), 134–143.MathSciNetzbMATHGoogle Scholar
  7. [7]
    N. N. Shapovalov, On a bilinear form on the universal enveloping algebra of a complex semisimple Lie algebra, Funk. Anal. Appl. 6 (1972), 307–312.CrossRefGoogle Scholar
  8. [8]
    V. G. Kac, D. A. Kazhdan, Representations with highest weight of infinite-dimensional Lie algebras, to appear.Google Scholar

Copyright information

© Springer-Verlag 1978

Authors and Affiliations

  • V. Kac
    • 1
  1. 1.Department of MathematicsMassachusetts Institute of TechnologyCambridge

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