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Algebra i Analiz, 2010, Volume 22, Issue 3, Pages 142–154 (Mi aa1189)  
This article is cited in 23 scientific papers (total in 23 papers)

Research Papers

Fusion procedure for the Brauer algebra

A. P. Isaeva, A. I. Molevb

a Bogoliubov Laboratory of Theoretical Physics, Joint Institute for Nuclear Research, Dubna, Moscow region, Russia
b School of Mathematics and Statistics, University of Sydney, Australia
Full-text PDF (621 kB) Citations (23)
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Abstract: It is shown that all primitive idempotents for the Brauer algebra $\mathcal B_n(\omega)$ can be found by evaluating a rational function in several variables that has the form of a product of $R$-matrix type factors. This provides an analog of the fusion procedure for $\mathcal B_n(\omega)$.
Keywords: fusion procedure, Brauer algebra, up-down tableau, Young tableau.
Received: 15.01.2010
English version:
St. Petersburg Mathematical Journal, 2011, Volume 22, Issue 3, Pages 437–446
DOI: https://doi.org/10.1090/S1061-0022-2011-01150-1
Bibliographic databases:
Document Type: Article
Language: English
Citation: A. P. Isaev, A. I. Molev, “Fusion procedure for the Brauer algebra”, Algebra i Analiz, 22:3 (2010), 142–154; St. Petersburg Math. J., 22:3 (2011), 437–446
Citation in format AMSBIB
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    • This publication is cited in the following 23 articles:
    Citing articles in Google Scholar: Russian citations, English citations
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    		Алгебра и анализ St. Petersburg Mathematical Journal
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