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Spectral properties of the periodic Coxeter Laplacian in the two-row ferromagnetic case. / Tsilevich, N. V.

In: Journal of Mathematical Sciences , Vol. 174, No. 1, 01.04.2011, p. 58-70.

Research output: Contribution to journal › Article › peer-review

Harvard

Tsilevich, NV 2011, 'Spectral properties of the periodic Coxeter Laplacian in the two-row ferromagnetic case', Journal of Mathematical Sciences , vol. 174, no. 1, pp. 58-70. https://doi.org/10.1007/s10958-011-0281-2

APA

Tsilevich, N. V. (2011). Spectral properties of the periodic Coxeter Laplacian in the two-row ferromagnetic case. Journal of Mathematical Sciences , 174(1), 58-70. https://doi.org/10.1007/s10958-011-0281-2

Vancouver

Tsilevich NV. Spectral properties of the periodic Coxeter Laplacian in the two-row ferromagnetic case. Journal of Mathematical Sciences . 2011 Apr 1;174(1):58-70. https://doi.org/10.1007/s10958-011-0281-2

Author

Tsilevich, N. V. / Spectral properties of the periodic Coxeter Laplacian in the two-row ferromagnetic case. In: Journal of Mathematical Sciences . 2011 ; Vol. 174, No. 1. pp. 58-70.

BibTeX

@article{4b653d079e31468399b9c3d3c9b1fbca,
title = "Spectral properties of the periodic Coxeter Laplacian in the two-row ferromagnetic case",
abstract = "This paper is a part of the project suggested by A. M. Vershik and the author and aimed to combine known results on the representation theory of the finite and infinite symmetric groups and a circle of results related to the quantum inverse scattering method and Bethe ansatz. In this first part, we consider the simplest spectral properties of a distinguished operator in the group algebra of the symmetric group, which we call the periodic Coxeter Laplacian. Namely, we study this operator in the two-row representations of symmetric groups and in the {"}ferromagnetic{"} asymptotic mode. Bibliography: 11 titles.",
author = "Tsilevich, {N. V.}",
year = "2011",
month = apr,
day = "1",
doi = "10.1007/s10958-011-0281-2",
language = "English",
volume = "174",
pages = "58--70",
journal = "Journal of Mathematical Sciences",
issn = "1072-3374",
publisher = "Springer Nature",
number = "1",

}

RIS

TY - JOUR

T1 - Spectral properties of the periodic Coxeter Laplacian in the two-row ferromagnetic case

AU - Tsilevich, N. V.

PY - 2011/4/1

Y1 - 2011/4/1

N2 - This paper is a part of the project suggested by A. M. Vershik and the author and aimed to combine known results on the representation theory of the finite and infinite symmetric groups and a circle of results related to the quantum inverse scattering method and Bethe ansatz. In this first part, we consider the simplest spectral properties of a distinguished operator in the group algebra of the symmetric group, which we call the periodic Coxeter Laplacian. Namely, we study this operator in the two-row representations of symmetric groups and in the "ferromagnetic" asymptotic mode. Bibliography: 11 titles.

AB - This paper is a part of the project suggested by A. M. Vershik and the author and aimed to combine known results on the representation theory of the finite and infinite symmetric groups and a circle of results related to the quantum inverse scattering method and Bethe ansatz. In this first part, we consider the simplest spectral properties of a distinguished operator in the group algebra of the symmetric group, which we call the periodic Coxeter Laplacian. Namely, we study this operator in the two-row representations of symmetric groups and in the "ferromagnetic" asymptotic mode. Bibliography: 11 titles.

UR - http://www.scopus.com/inward/record.url?scp=79952817119&partnerID=8YFLogxK

U2 - 10.1007/s10958-011-0281-2

DO - 10.1007/s10958-011-0281-2

M3 - Article

AN - SCOPUS:79952817119

VL - 174

SP - 58

EP - 70

JO - Journal of Mathematical Sciences

JF - Journal of Mathematical Sciences

SN - 1072-3374

IS - 1

ER -

ID: 49789647