Fusion procedure for Coxeter groups of type $B$ and complex reflection groups $G(m,1,n)$
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- by O. V. Ogievetsky and L. Poulain d’Andecy PDF
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Abstract:
A complete system of primitive pairwise orthogonal idempotents for the Coxeter groups of type $B$ and, more generally, for the complex reflection groups $G(m,1,n)$ is constructed by a sequence of evaluations of a rational function in several variables with values in the group ring. The evaluations correspond to the eigenvalues of the two arrays of Jucys–Murphy elements.References
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Additional Information
- O. V. Ogievetsky
- Affiliation: Aix Marseille University, Center of Theoretical Physics, UMR 7332, Luminy, 13288 Marseille, France (On leave of absence from P. N. Lebedev Physical Institute, Leninsky Pr. 53,117924 Moscow, Russia)
- MR Author ID: 202479
- Email: oleg@cpt.univ-mrs.fr
- L. Poulain d’Andecy
- Affiliation: Aix Marseille University, Center of Theoretical Physics, UMR 7332, Luminy, 13288 Marseille, France
- Address at time of publication: Korteweg-de Vries Institute for Mathematics, University of Amsterdam, P. O. Box 94248, 1090 GE Amsterdam, The Netherlands
- Email: lpoulain@cpt.univ-mrs.fr, L.B.PoulainDAndecy@uva.nl
- Received by editor(s): May 10, 2012
- Received by editor(s) in revised form: August 10, 2012
- Published electronically: June 2, 2014
- Communicated by: Pham Huu Tiep
- © Copyright 2014 American Mathematical Society
- Journal: Proc. Amer. Math. Soc. 142 (2014), 2929-2941
- MSC (2010): Primary 20C05, 20F55
- DOI: https://doi.org/10.1090/S0002-9939-2014-11992-7
- MathSciNet review: 3223348