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Simple lie groups and the legendre symbol

Lie Algebras

Part of the Lecture Notes in Mathematics book series (LNM,volume 848)

Keywords

  • Prime Number
  • Conjugacy Class
  • Weyl Group
  • Galois Group
  • Finite Order

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References

  1. S. Helgason, Differential Geometry, Lie Groups and Symmetric Spaces, Chapter 10, §5, Academic Press, 1978.

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  2. V.G. Kac, "Infinite-dimensional algebras ... and the very strange formula", Advances in Math., 30(1978), 85–136.

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  3. V.G. Kac, D.H. Peterson, "Infinite-dimensional Lie algebras, classical theta functions and modular forms", to appear.

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  4. B. Kostant, "On Macdonald's n-function formula ...," Advances in Math. 20(1976), 179–212.

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  5. I.G. Macdonald, "Affine root systems and Dedekind's η-function", Invent. Math. 15(1972), 91–143.

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  6. J.-P. Serre, "Arithmetic Groups, in Homological Group Theory", London Math. Soc. 36(1979), Cambridge University Press, Cambridge, England.

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  7. J.-P. Serre, "Cours d'arithmetique", Paris, 1970.

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© 1981 Springer-Verlag

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Kac, V.G. (1981). Simple lie groups and the legendre symbol. In: Amayo, R.K. (eds) Algebra Carbondale 1980. Lecture Notes in Mathematics, vol 848. Springer, Berlin, Heidelberg. https://doi.org/10.1007/BFb0090559

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  • DOI: https://doi.org/10.1007/BFb0090559

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  • Print ISBN: 978-3-540-10573-2

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