Fusion procedure for the Brauer algebra

Isaev, A.; Molev, A.

doi:10.1090/S1061-0022-2011-01150-1

Fusion procedure for the Brauer algebra
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by A. P. Isaev and A. I. Molev

St. Petersburg Math. J. 22 (2011), 437-446

DOI: https://doi.org/10.1090/S1061-0022-2011-01150-1

Published electronically: March 17, 2011

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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 $\mathcal {B}_n(\omega )$.

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