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Representations of classical lie superalgebras

  • Chapter III. Quantum Field Theory And General Relativity
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Book cover Differential Geometrical Methods in Mathematical Physics II

Part of the book series: Lecture Notes in Mathematics ((LNM,volume 676))

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References

  1. V. G. Kac, Lie superalgebras, Advances in Math., 26, no. 1 (1977), 8–96.

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  2. V. G. Kac, Characters of typical representations of classical Lie superalgebras, Communications in Algebra, 5(8) (1977), 889–897.

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  3. L. Corwin, Y. Ne'emen, S. Sternberg, Graded Lie algebras in mathematics and physics, Rev. Mod. Phys. 47 (1975), 573–604.

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  4. V. G. Kac, Infinite-dimensional algebras, Dedekind's η-function, classical Möbius function and the very strange formula, Advances in Math., to appear.

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  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.

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  6. D. Ž. Djoković and G. Hochschild, Semi-simplicity of z2-graded Lie algebras II, Illinois J. Math. 20 (1976), 134–143.

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  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.

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  8. V. G. Kac, D. A. Kazhdan, Representations with highest weight of infinite-dimensional Lie algebras, to appear.

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Authors and Affiliations

  1. Department of Mathematics, Massachusetts Institute of Technology, 02139, Cambridge, MA

    V. Kac

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  1. V. Kac
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Konrad Bleuler Axel Reetz Herbert Rainer Petry

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© 1978 Springer-Verlag

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Kac, V. (1978). Representations of classical lie superalgebras. In: Bleuler, K., Reetz, A., Petry, H.R. (eds) Differential Geometrical Methods in Mathematical Physics II. Lecture Notes in Mathematics, vol 676. Springer, Berlin, Heidelberg. https://doi.org/10.1007/BFb0063691

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  • DOI: https://doi.org/10.1007/BFb0063691

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  • Publisher Name: Springer, Berlin, Heidelberg

  • Print ISBN: 978-3-540-08935-3

  • Online ISBN: 978-3-540-35721-6

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