Geodesic
Numerical constructions involving Chebyshev polynomials
Teoretičeskaâ i matematičeskaâ fizika, Tome 190 (2017) no. 2, pp. 354-365 Cet article a éte moissonné depuis la source Math-Net.Ru

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We propose a new algorithm for the character expansion of tensor products of finite-dimensional irreducible representations of simple Lie algebras. The algorithm produces valid results for the algebras $B_3$, $C_3$, and $D_3$. We use the direct correspondence between Weyl anti-invariant functions and multivariate second-kind Chebyshev polynomials. We construct the triangular trigonometric polynomials for the algebra $D_3$.
Keywords: algebra representation, fundamental module, three-dimensional Lie algebra, Chebyshev polynomial. 
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     author = {V. D. Lyakhovsky},
     title = {Numerical constructions involving {Chebyshev} polynomials},
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V. D. Lyakhovsky. Numerical constructions involving Chebyshev polynomials. Teoretičeskaâ i matematičeskaâ fizika, Tome 190 (2017) no. 2, pp. 354-365. http://geodesic.mathdoc.fr/item/TMF_2017_190_2_a10/

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