Fusion procedure for the Brauer algebra

Isaev, A.; Molev, A.

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

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Fusion procedure for the Brauer algebra

Authors: A. P. Isaev and A. I. Molev
Original publication: Algebra i Analiz, tom 22 (2010), nomer 3.
Journal: St. Petersburg Math. J. 22 (2011), 437-446
MSC (2010): Primary 81R05, 05E10
Posted: March 17, 2011
MathSciNet review: 2729943
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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 -matrix type factors. This provides an analog of the fusion procedure for $\mathcal{B}_n(\omega)$ .

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