A Beautiful Sine Formula

DOI10.4169/amer.math.monthly.121.02.120zbMath1307.17016OpenAlexW2408228947MaRDI QIDQ5419495

Pantelis A. Damianou

Publication date: 10 June 2014

Published in: The American Mathematical Monthly (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.4169/amer.math.monthly.121.02.120

zbMATH Keywords

Cartan matrixChebyshev polynomialsimple Lie algebra

Mathematics Subject Classification ID

Reflection and Coxeter groups (group-theoretic aspects) (20F55) Orthogonal polynomials and functions of hypergeometric type (Jacobi, Laguerre, Hermite, Askey scheme, etc.) (33C45) Simple, semisimple, reductive (super)algebras (17B20)

Related Items (5)

Non-degeneracy and uniqueness of solutions to general singular Toda systems on bounded domains ⋮ Hitchin components for orbifolds ⋮ Poincaré series, exponents of affine Lie algebras, and McKay-Slodowy correspondence ⋮ Poincaré series of relative symmetric invariants for \(\operatorname{SL}_n(\mathbb{C})\) ⋮ Determinants of two kinds of matrices whose elements involve sine functions

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