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References
S. Helgason, Differential Geometry, Lie Groups and Symmetric Spaces, Chapter 10, §5, Academic Press, 1978.
V.G. Kac, "Infinite-dimensional algebras ... and the very strange formula", Advances in Math., 30(1978), 85–136.
V.G. Kac, D.H. Peterson, "Infinite-dimensional Lie algebras, classical theta functions and modular forms", to appear.
B. Kostant, "On Macdonald's n-function formula ...," Advances in Math. 20(1976), 179–212.
I.G. Macdonald, "Affine root systems and Dedekind's η-function", Invent. Math. 15(1972), 91–143.
J.-P. Serre, "Arithmetic Groups, in Homological Group Theory", London Math. Soc. 36(1979), Cambridge University Press, Cambridge, England.
J.-P. Serre, "Cours d'arithmetique", Paris, 1970.
R. Steinberg, "Regular elements of semisimple algebraic groups", Publ. Math. IHES No. 25(1965), 281–312.
R. P. Stanley, "Theory and application of plane partitions I", Stud. in Appl. Math. L,2, 167–188.
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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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