A. P. Isaev, A. I. Molev, “Fusion procedure for the Brauer algebra”, Algebra i Analiz, 2010, Volume 22, Issue 3,Pages <nobr>142

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Research Papers

Fusion procedure for the Brauer algebra

A. P. Isaev^a, A. I. Molev^b

^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

Language: English