Geodesic
Multivariate Chebyshev polynomials in terms of singular elements
Teoretičeskaâ i matematičeskaâ fizika, Tome 175 (2013) no. 3, pp. 419-428 Cet article a éte moissonné depuis la source Math-Net.Ru

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We use the direct correspondence between Weyl anti-invariant functions and multivariate second-type Chebyshev polynomials to substantially simplify most operations with multivariate polynomials. We illustrate the obtained results by studying bivariate polynomials of the second type for root systems $A_1\oplus A_1$, $B_2$, and $G_2$.
Keywords: generalized Chebyshev polynomial, semisimple Lie algebra, representation theory, Weyl group. 
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V. D. Lyakhovsky. Multivariate Chebyshev polynomials in terms of singular elements. Teoretičeskaâ i matematičeskaâ fizika, Tome 175 (2013) no. 3, pp. 419-428. http://geodesic.mathdoc.fr/item/TMF_2013_175_3_a9/

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