This article is cited in 3 papers

Chebyshev polynomials for a three-dimensional algebra

V. D. Lyakhovsky

St. Petersburg State University. St. Petersburg, Russia

Abstract: We use the direct correspondence between anti-invariant Weyl functions and multivariate Chebyshev polynomials, which allows obtaining the Chebyshev polynomials themselves. We illustrate the obtained results with polynomials for the algebra $C_3$.

Keywords: irreducible representation of an algebra, singular element, Chebyshev polynomial.

DOI: 10.4213/tmf8916

 English version: Theoretical and Mathematical Physics, 2015, 185:1, 1462–1470

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