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On different models of representations of the infinite symmetric group. / Tsilevich, N. V.; Vershik, A. M.

в: Advances in Applied Mathematics, Том 37, № 4, 01.10.2006, стр. 526-540.

Результаты исследований: Научные публикации в периодических изданиях › статья › Рецензирование

Harvard

Tsilevich, NV & Vershik, AM 2006, 'On different models of representations of the infinite symmetric group', Advances in Applied Mathematics, Том. 37, № 4, стр. 526-540. https://doi.org/10.1016/j.aam.2005.09.007

APA

Tsilevich, N. V., & Vershik, A. M. (2006). On different models of representations of the infinite symmetric group. Advances in Applied Mathematics, 37(4), 526-540. https://doi.org/10.1016/j.aam.2005.09.007

Vancouver

Tsilevich NV, Vershik AM. On different models of representations of the infinite symmetric group. Advances in Applied Mathematics. 2006 Окт. 1;37(4):526-540. https://doi.org/10.1016/j.aam.2005.09.007

Author

Tsilevich, N. V. ; Vershik, A. M. / On different models of representations of the infinite symmetric group. в: Advances in Applied Mathematics. 2006 ; Том 37, № 4. стр. 526-540.

BibTeX

@article{dd2e4c8a7ef1421b9c8b70610210f89a,
title = "On different models of representations of the infinite symmetric group",
abstract = "We present an explicit description of the isomorphism between two models of finite factor representations of the infinite symmetric group: the tableau model in the space of functions on Young bitableaux and the dynamical model in the space of functions on pairs of Bernoulli sequences. The main tool used is the Fourier transform on the symmetric groups. We also start the investigation of the so-called tensor model of two-row representations of the symmetric groups, which plays an intermediate role between the tableau and dynamical models, and show its relations to both these models.",
author = "Tsilevich, {N. V.} and Vershik, {A. M.}",
year = "2006",
month = oct,
day = "1",
doi = "10.1016/j.aam.2005.09.007",
language = "English",
volume = "37",
pages = "526--540",
journal = "Advances in Applied Mathematics",
issn = "0196-8858",
publisher = "Elsevier",
number = "4",

}

RIS

TY - JOUR

T1 - On different models of representations of the infinite symmetric group

AU - Tsilevich, N. V.

AU - Vershik, A. M.

PY - 2006/10/1

Y1 - 2006/10/1

N2 - We present an explicit description of the isomorphism between two models of finite factor representations of the infinite symmetric group: the tableau model in the space of functions on Young bitableaux and the dynamical model in the space of functions on pairs of Bernoulli sequences. The main tool used is the Fourier transform on the symmetric groups. We also start the investigation of the so-called tensor model of two-row representations of the symmetric groups, which plays an intermediate role between the tableau and dynamical models, and show its relations to both these models.

AB - We present an explicit description of the isomorphism between two models of finite factor representations of the infinite symmetric group: the tableau model in the space of functions on Young bitableaux and the dynamical model in the space of functions on pairs of Bernoulli sequences. The main tool used is the Fourier transform on the symmetric groups. We also start the investigation of the so-called tensor model of two-row representations of the symmetric groups, which plays an intermediate role between the tableau and dynamical models, and show its relations to both these models.

UR - http://www.scopus.com/inward/record.url?scp=33749593942&partnerID=8YFLogxK

U2 - 10.1016/j.aam.2005.09.007

DO - 10.1016/j.aam.2005.09.007

M3 - Article

AN - SCOPUS:33749593942

VL - 37

SP - 526

EP - 540

JO - Advances in Applied Mathematics

JF - Advances in Applied Mathematics

SN - 0196-8858

IS - 4

ER -

ID: 49789917