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Teoreticheskaya i Matematicheskaya Fizika, 2013, Volume 175, Number 3, Pages 419–428
DOI: https://doi.org/10.4213/tmf8490 (Mi tmf8490) 		 
This article is cited in 5 scientific papers (total in 5 papers)

Multivariate Chebyshev polynomials in terms of singular elements

V. D. Lyakhovsky

Saint Petersburg State University, St. Petersburg, Russia
Full-text PDF (460 kB) Citations (5)
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DOI: https://doi.org/10.4213/tmf8490
Abstract: 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.
English version:
Theoretical and Mathematical Physics, 2013, Volume 175, Issue 3, Pages 797–805
DOI: https://doi.org/10.1007/s11232-013-0066-5
Bibliographic databases:
Document Type: Article
Language: Russian
Citation: V. D. Lyakhovsky, “Multivariate Chebyshev polynomials in terms of singular elements”, TMF, 175:3 (2013), 419–428; Theoret. and Math. Phys., 175:3 (2013), 797–805
Citation in format AMSBIB
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    • This publication is cited in the following 5 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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