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Traces on infinite-dimensional Brauer algebras. / Nikitin, P. P.; Vershik, A. M.

в: Functional Analysis and its Applications, Том 40, № 3, 01.07.2006, стр. 165-172.

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Harvard

Nikitin, PP & Vershik, AM 2006, 'Traces on infinite-dimensional Brauer algebras', Functional Analysis and its Applications, Том. 40, № 3, стр. 165-172. https://doi.org/10.1007/s10688-006-0028-x

APA

Vancouver

Nikitin PP, Vershik AM. Traces on infinite-dimensional Brauer algebras. Functional Analysis and its Applications. 2006 Июль 1;40(3):165-172. https://doi.org/10.1007/s10688-006-0028-x

Author

Nikitin, P. P. ; Vershik, A. M. / Traces on infinite-dimensional Brauer algebras. в: Functional Analysis and its Applications. 2006 ; Том 40, № 3. стр. 165-172.

BibTeX

@article{18d8027e632f46babe920441cab3dc42,
title = "Traces on infinite-dimensional Brauer algebras",
abstract = "We prove a theorem describing central measures for random walks on graded graphs. Using this theorem, we obtain the list of all finite traces on three infinite-dimensional algebras, namely, on the Brauer algebra, the walled Brauer algebra, and the partition algebra. The main result is that these lists coincide with the list of traces of the symmetric group or (for the walled Brauer algebra) of the square of the symmetric group.",
keywords = "Brauer algebra, Central measure, Finite trace, Partition algebra, Walled Brauer algebra",
author = "Nikitin, {P. P.} and Vershik, {A. M.}",
year = "2006",
month = jul,
day = "1",
doi = "10.1007/s10688-006-0028-x",
language = "English",
volume = "40",
pages = "165--172",
journal = "Functional Analysis and its Applications",
issn = "0016-2663",
publisher = "Springer Nature",
number = "3",

}

RIS

TY - JOUR

T1 - Traces on infinite-dimensional Brauer algebras

AU - Nikitin, P. P.

AU - Vershik, A. M.

PY - 2006/7/1

Y1 - 2006/7/1

N2 - We prove a theorem describing central measures for random walks on graded graphs. Using this theorem, we obtain the list of all finite traces on three infinite-dimensional algebras, namely, on the Brauer algebra, the walled Brauer algebra, and the partition algebra. The main result is that these lists coincide with the list of traces of the symmetric group or (for the walled Brauer algebra) of the square of the symmetric group.

AB - We prove a theorem describing central measures for random walks on graded graphs. Using this theorem, we obtain the list of all finite traces on three infinite-dimensional algebras, namely, on the Brauer algebra, the walled Brauer algebra, and the partition algebra. The main result is that these lists coincide with the list of traces of the symmetric group or (for the walled Brauer algebra) of the square of the symmetric group.

KW - Brauer algebra

KW - Central measure

KW - Finite trace

KW - Partition algebra

KW - Walled Brauer algebra

UR - http://www.scopus.com/inward/record.url?scp=33749522339&partnerID=8YFLogxK

U2 - 10.1007/s10688-006-0028-x

DO - 10.1007/s10688-006-0028-x

M3 - Article

AN - SCOPUS:33749522339

VL - 40

SP - 165

EP - 172

JO - Functional Analysis and its Applications

JF - Functional Analysis and its Applications

SN - 0016-2663

IS - 3

ER -

ID: 49959209