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Matematicheskie Trudy, 2019, Volume 22, Number 2, Pages 34–53
DOI: https://doi.org/10.33048/mattrudy.2019.22.203 (Mi mt356) 		 
The spectrum of the Laplace operator on connected compact simple Lie groups of rank four. II

I. A. Zubareva

Sobolev Institute of Mathematics, Omsk Division, Novosibirsk, 644099 Russia
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DOI: https://doi.org/10.33048/mattrudy.2019.22.203
Abstract: In the present article, we explicitly compute the spectrum of the Laplace operator on smooth real-valued and complex-valued functions on connected compact simple Lie groups of rank four with a bi-invariant Riemannian metrics that correspond to the root systems $A_4$ and $F_4$.
Key words: Laplace operator, spectrum, group representation, Killing form, Ricci curvature.
Funding agency Grant number
Siberian Branch of Russian Academy of Sciences I.1.1.4, проект № 0314-2016-0004
The work was supported by the program of fundamental scientific research of the Siberian Branch of the Russian Academy of Sciences, No. I.1.4 (project No. 0314-2016-0004).
Received: 10.09.2018
Revised: 10.09.2018
Accepted: 27.02.2019
English version:
Siberian Advances in Mathematics, 2020, Volume 30, Issue 3, Pages 213–227
DOI: https://doi.org/10.3103/S1055134420030062
Bibliographic databases:
Document Type: Article
UDC: 514.764.227+514.765+517.984.56+511
Language: Russian
Citation: I. A. Zubareva, “The spectrum of the Laplace operator on connected compact simple Lie groups of rank four. II”, Mat. Tr., 22:2 (2019), 34–53; Siberian Adv. Math., 30:3 (2020), 213–227
Citation in format AMSBIB
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\by I.~A.~Zubareva
\paper The spectrum of the Laplace operator on connected compact simple Lie groups of rank four.~II
\jour Mat. Tr.
\yr 2019
\vol 22
\issue 2
\pages 34--53
\mathnet{http://mi.mathnet.ru/mt356}
\crossref{https://doi.org/10.33048/mattrudy.2019.22.203}
\transl
\jour Siberian Adv. Math.
\yr 2020
\vol 30
\issue 3
\pages 213--227
\crossref{https://doi.org/10.3103/S1055134420030062}
\scopus{https://www.scopus.com/record/display.url?origin=inward&eid=2-s2.0-85089552736}
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    		Математические труды Siberian Advances in Mathematics
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