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Funktsional'nyi Analiz i ego Prilozheniya, 2006, Volume 40, Issue 3, Pages 3–11
DOI: https://doi.org/10.4213/faa739 (Mi faa739) 		 
This article is cited in 5 scientific papers (total in 6 papers)

Traces on Infinite-Dimensional Brauer Algebras

A. M. Vershik, P. P. Nikitin

St. Petersburg Department of V. A. Steklov Institute of Mathematics, Russian Academy of Sciences
Full-text PDF (204 kB) Citations (6)
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DOI: https://doi.org/10.4213/faa739
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, walled Brauer algebra, partition algebra, central measure, finite trace.
Received: 31.03.2006
English version:
Functional Analysis and Its Applications, 2006, Volume 40, Issue 3, Pages 165–172
DOI: https://doi.org/10.1007/s10688-006-0028-x
Bibliographic databases:
Document Type: Article
UDC: 519.17+519.21
Language: Russian
Citation: A. M. Vershik, P. P. Nikitin, “Traces on Infinite-Dimensional Brauer Algebras”, Funktsional. Anal. i Prilozhen., 40:3 (2006), 3–11; Funct. Anal. Appl., 40:3 (2006), 165–172
Citation in format AMSBIB
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    • This publication is cited in the following 6 articles:
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    		Функциональный анализ и его приложения Functional Analysis and Its Applications
     
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