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Zapiski Nauchnykh Seminarov POMI, 2011, Volume 390, Pages 286–298 (Mi znsl4554)  
This article is cited in 1 scientific paper (total in 1 paper)

On the behavior of the periodic Coxeter Laplacian in some representations related to the antiferromagnetic asymptotic mode and continual limits

N. V. Tsilevich

St. Petersburg Department of the Steklov Mathematical Institute, St. Petersburg, Russia
Full-text PDF (237 kB) Citations (1)
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Abstract: We consider some problems related to the asymptotic behavior of the so-called periodic Coxeter Laplacian (a distinguished operator in the group algebra of the symmetric group essentially coinciding with the Hamiltonian of the XXX Heisenberg model of spins) in some representations corresponding to the antiferromagnetic asymptotic mode, as well as in some related continual limits.
Key words and phrases: Coxeter Laplacian, representations of symmetric groups, continual limits.
Received: 29.09.2011
English version:
Journal of Mathematical Sciences (New York), 2012, Volume 181, Issue 6, Pages 914–920
DOI: https://doi.org/10.1007/s10958-012-0723-5
Bibliographic databases:
Document Type: Article
UDC: 517.98
Language: English
Citation: N. V. Tsilevich, “On the behavior of the periodic Coxeter Laplacian in some representations related to the antiferromagnetic asymptotic mode and continual limits”, Representation theory, dynamical systems, combinatorial methods. Part XX, Zap. Nauchn. Sem. POMI, 390, POMI, St. Petersburg, 2011, 286–298; J. Math. Sci. (N. Y.), 181:6 (2012), 914–920
Citation in format AMSBIB
\Bibitem{Tsi11}
\by N.~V.~Tsilevich
\paper On the behavior of the periodic Coxeter Laplacian in some representations related to the antiferromagnetic asymptotic mode and continual limits
\inbook Representation theory, dynamical systems, combinatorial methods. Part~XX
\serial Zap. Nauchn. Sem. POMI
\yr 2011
\vol 390
\pages 286--298
\publ POMI
\publaddr St.~Petersburg
\mathnet{http://mi.mathnet.ru/znsl4554}
\transl
\jour J. Math. Sci. (N. Y.)
\yr 2012
\vol 181
\issue 6
\pages 914--920
\crossref{https://doi.org/10.1007/s10958-012-0723-5}
\scopus{https://www.scopus.com/record/display.url?origin=inward&eid=2-s2.0-84858746241}
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  • https://www.mathnet.ru/eng/znsl/v390/p286
    • This publication is cited in the following 1 articles:
    Citing articles in Google Scholar: Russian citations, English citations
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