You are not currently logged in.

Access your personal account or get JSTOR access through your library or other institution:


Log in to your personal account or through your institution.

A Beautiful Sine Formula

Pantelis A. Damianou
The American Mathematical Monthly
Vol. 121, No. 2 (February 2014), pp. 120-135
DOI: 10.4169/amer.math.monthly.121.02.120
Stable URL:
Page Count: 16
  • Download ($19.00)
  • Cite this Item
Item Type
A Beautiful Sine Formula
Preview not available


Abstract Let g be a complex simple Lie algebra of rank ℓ, h the Coxeter number, m1, m2, …, mℓ the exponents of g, and C the Cartan matrix. Then \documentclass{article} \pagestyle{empty}\begin{document} $$2^{2\ell} \prod_{i=1}^{\ell} \sin^2 {\frac{m_i \pi}{2h}} = \det C.$$ \end{document}

Page Thumbnails