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Teoreticheskaya i Matematicheskaya Fizika, 2015, Volume 185, Number 1, Pages 118–126
DOI: https://doi.org/10.4213/tmf8916 (Mi tmf8916) 		 
This article is cited in 3 scientific papers (total in 3 papers)

Chebyshev polynomials for a three-dimensional algebra

V. D. Lyakhovsky

St. Petersburg State University. St. Petersburg, Russia
Full-text PDF (428 kB) Citations (3)
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DOI: https://doi.org/10.4213/tmf8916
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.
Funding agency Grant number
Russian Foundation for Basic Research 15-01-03148
English version:
Theoretical and Mathematical Physics, 2015, Volume 185, Issue 1, Pages 1462–1470
DOI: https://doi.org/10.1007/s11232-015-0355-2
Bibliographic databases:
Document Type: Article
Language: Russian
Citation: V. D. Lyakhovsky, “Chebyshev polynomials for a three-dimensional algebra”, TMF, 185:1 (2015), 118–126; Theoret. and Math. Phys., 185:1 (2015), 1462–1470
Citation in format AMSBIB
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  • https://doi.org/10.4213/tmf8916
  • https://www.mathnet.ru/eng/tmf/v185/i1/p118
    • This publication is cited in the following 3 articles:
    Citing articles in Google Scholar: Russian citations, English citations
    Related articles in Google Scholar: Russian articles, English articles
    		Теоретическая и математическая физика Theoretical and Mathematical Physics
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    References:48
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