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Matematicheskie Trudy, 2016, Volume 19, Number 1, Pages 3–45
DOI: https://doi.org/10.17377/mattrudy.2016.19.101 (Mi mt298) 		 
This article is cited in 2 scientific papers (total in 2 papers)

The spectra of the Laplace operators on connected compact simple Lie groups of rank 3

V. N. Berestovskiia, I. A. Zubarevab, V. M. Svirkinc

a Sobolev Institute of Mathematics, Novosibirsk, Russia
b Sobolev Institute of Mathematics, Omsk Division, Omsk, Russia
c Omsk State University, Omsk, Russia
Full-text PDF (522 kB) Citations (2)
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DOI: https://doi.org/10.17377/mattrudy.2016.19.101
Abstract: We expose explicit calculations of the spectra of the Laplace operators for smooth real or complex functions on all connected compact simple Lie groups of rank 3 with bi-invariant Riemannian metric and establish the relationship of the obtained formulas with number theory and integer-valued ternary and binary quadratic forms.
Key words: Laplace operator, spectrum, representation of a group, Killing form.
Funding agency Grant number
Ministry of Education and Science of the Russian Federation 14.B25.31.0029
НШ 2263.2014.10
Russian Foundation for Basic Research 14-01-00068_a
Received: 13.11.2015
English version:
Siberian Advances in Mathematics, 2016, Volume 26, Issue 3, Pages 153–181
DOI: https://doi.org/10.3103/S1055134416030019
Bibliographic databases:
Document Type: Article
UDC: 514.764.227+514.765+517.984.56+511
Language: Russian
Citation: V. N. Berestovskii, I. A. Zubareva, V. M. Svirkin, “The spectra of the Laplace operators on connected compact simple Lie groups of rank 3”, Mat. Tr., 19:1 (2016), 3–45; Siberian Adv. Math., 26:3 (2016), 153–181
Citation in format AMSBIB
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\by V.~N.~Berestovskii, I.~A.~Zubareva, V.~M.~Svirkin
\paper The spectra of the Laplace operators on connected compact simple Lie groups of rank~3
\jour Mat. Tr.
\yr 2016
\vol 19
\issue 1
\pages 3--45
\mathnet{http://mi.mathnet.ru/mt298}
\crossref{https://doi.org/10.17377/mattrudy.2016.19.101}
\mathscinet{http://mathscinet.ams.org/mathscinet-getitem?mr=3588297}
\elib{https://elibrary.ru/item.asp?id=25963583}
\transl
\jour Siberian Adv. Math.
\yr 2016
\vol 26
\issue 3
\pages 153--181
\crossref{https://doi.org/10.3103/S1055134416030019}
\scopus{https://www.scopus.com/record/display.url?origin=inward&eid=2-s2.0-84981718854}
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    • This publication is cited in the following 2 articles:
    Citing articles in Google Scholar: Russian citations, English citations
    Related articles in Google Scholar: Russian articles, English articles
    		Математические труды Siberian Advances in Mathematics
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