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The Weyl Character Formula

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Lie Groups

Part of the book series: Graduate Texts in Mathematics ((GTM,volume 225))

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Abstract

The character formula of Weyl [174] is the gem of the representation theory of compact Lie groups.

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References

  1. S. Lang. Algebra, volume 211 of Graduate Texts in Mathematics. Springer-Verlag, New York, third edition, 2002.

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  2. Robert Steinberg. A general Clebsch-Gordan theorem. Bull. Amer. Math. Soc., 67:406–407, 1961.

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  3. Robert Steinberg. Lectures on Chevalley groups. Yale University, New Haven, Conn. ( http://www.math.ucla.edu/rst/ ), 1968. Notes prepared by John Faulkner and Robert Wilson.

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Bump, D. (2013). The Weyl Character Formula. In: Lie Groups. Graduate Texts in Mathematics, vol 225. Springer, New York, NY. https://doi.org/10.1007/978-1-4614-8024-2_22

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