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 $\mathcal {B}_n(\omega )$.References
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Bibliographic Information
- A. P. Isaev
- Affiliation: Bogolyubov Laboratory of Theoretical Physics, Joint Institute for Nuclear Research, Dubna 141980, Moscow Region, Russia
- Email: isaevap@theor.jinr.ru
- A. I. Molev
- Affiliation: School of Mathematics and Statistics, University of Sydney, NSW 2006, Australia
- MR Author ID: 207046
- Email: alexm@maths.usyd.edu.au
- Received by editor(s): January 15, 2010
- Published electronically: March 17, 2011
- Additional Notes: The first author was supported by RFBR (grant no. 08-01-00392-a) and by RFBR-CNRS (grant no. 07-02-92166-a)
- © Copyright 2011 American Mathematical Society
- Journal: St. Petersburg Math. J. 22 (2011), 437-446
- MSC (2010): Primary 81R05, 05E10
- DOI: https://doi.org/10.1090/S1061-0022-2011-01150-1
- MathSciNet review: 2729943
Dedicated: Dedicated to L. D. Faddeev on the occasion of his 75th birthday