Skip to main content

Some recent results on supersymmetry

  • Chapter II. Graded Lie Algebras — Supersymmetry
  • Conference paper
  • First Online:
Differential Geometrical Methods in Mathematical Physics

Part of the book series: Lecture Notes in Mathematics ((LNM,volume 570))

This is a preview of subscription content, log in via an institution to check access.

Access this chapter

Chapter
USD 29.95
Price excludes VAT (USA)
  • Available as PDF
  • Read on any device
  • Instant download
  • Own it forever
eBook
USD 44.99
Price excludes VAT (USA)
  • Available as PDF
  • Read on any device
  • Instant download
  • Own it forever
Softcover Book
USD 59.00
Price excludes VAT (USA)
  • Compact, lightweight edition
  • Dispatched in 3 to 5 business days
  • Free shipping worldwide - see info

Tax calculation will be finalised at checkout

Purchases are for personal use only

Institutional subscriptions

Preview

Unable to display preview. Download preview PDF.

Unable to display preview. Download preview PDF.

References

  1. L. Corwin, Y. Ne'eman, and S. Sternberg, ‘Graded Lie algebras in mathematics and physics’, Reviews of Modern Physics, 47 (1975) pp. 573–603.

    Article  MathSciNet  MATH  Google Scholar 

  2. B. Kostant, article in this volume.

    Google Scholar 

  3. V. W. Guillemin and S. Sternberg, ‘An algebraic model of transitive differential geometry’, Bull. A. M. S., 70 (1964) 16–47.

    Article  MathSciNet  MATH  Google Scholar 

  4. R. J. Blattner, ‘Induced and produced representations of Lie algebras’, Trans. Amer. Math. Soc. 144 (1969) 457–474.

    Article  MathSciNet  MATH  Google Scholar 

  5. V. G. Kac, ‘Classification of Lie superalgebras’, Funksional. Anal. 1. Prilozhen. 9 (1975) 75–76.

    Article  MathSciNet  MATH  Google Scholar 

  6. I. Kaplansky, ‘Graded Le Algebras’, I and II, Univ. of Chicago preprint 1975.

    Google Scholar 

  7. I. M. Singer and S. Sternberg, ‘The infinite groups of Lie and Cartan’, Journal d'Analyse Mathematique 15 (1965) 1–114.

    Article  MathSciNet  MATH  Google Scholar 

  8. D. Djokovic and G. Hochschild, ‘Classification of some 2-graded Lie algebras’ and ‘Semi-simplicity of 2-graded Lie algebras’, to appear.

    Google Scholar 

  9. J. M. Souriau, Structure des systèmes dynamiques, Dunod, Paris (1970).

    MATH  Google Scholar 

  10. V. G. Kac, ‘Characters of Typical Representations of Classical Lie Superalgebras’, to appear.

    Google Scholar 

  11. S. Sternberg and J. A. Wolf, ‘Charge Conjugation and Segal's Cosmology’, Il Nuovo Cimento 28 (1975) 253–271.

    Article  Google Scholar 

  12. S. Sternberg and J. A. Wolf, ‘Hermitian Lie algebras and metaplectic representations’, to appear.

    Google Scholar 

  13. Carey and Hannabuss, to appear.

    Google Scholar 

  14. D. A. Leites, ‘Cohomology of Lie superalgebras’, Funksional. Anal. 1. Prilozhen. 9.

    Google Scholar 

  15. H. Tilgner, ‘Extensions of Lie graded algebras’, to appear.

    Google Scholar 

  16. M. Scheunert, W. Nahm, and V. Rittenberg, ‘Classification of all simple graded Lie algebras whose Lie algebra is reductive’, Journal of Mathematical Physics, 17 (1976), 1626 and 1640

    Article  MathSciNet  MATH  Google Scholar 

Download references

Author information

Authors and Affiliations

Authors

Editor information

Konrad Bleuler Axel Reetz

Rights and permissions

Reprints and permissions

Copyright information

© 1977 Springer-Verlag

About this paper

Cite this paper

Sternberg, S. (1977). Some recent results on supersymmetry. In: Bleuler, K., Reetz, A. (eds) Differential Geometrical Methods in Mathematical Physics. Lecture Notes in Mathematics, vol 570. Springer, Berlin, Heidelberg. https://doi.org/10.1007/BFb0087787

Download citation

  • DOI: https://doi.org/10.1007/BFb0087787

  • Published:

  • Publisher Name: Springer, Berlin, Heidelberg

  • Print ISBN: 978-3-540-08068-8

  • Online ISBN: 978-3-540-37498-5

  • eBook Packages: Springer Book Archive

Publish with us

Policies and ethics