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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
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
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
Linking options:
https://www.mathnet.ru/eng/aa1189 https://www.mathnet.ru/eng/aa/v22/i3/p142
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Abstract page: | 495 | Full-text PDF : | 107 | References: | 47 | First page: | 6 |
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