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Symmetry, Integrability and Geometry: Methods and Applications, 2014, Volume 10, 039, 13 pp.
DOI: https://doi.org/10.3842/SIGMA.2014.039 (Mi sigma904) 		 
This article is cited in 7 scientific papers (total in 7 papers)

Fusion Procedure for Cyclotomic Hecke Algebras

Oleg V. Ogievetskyabc, Loïc Poulain d'Andecyd

a Center of Theoretical Physics, Aix Marseille Université, CNRS, UMR 7332, 13288 Marseille, France
b On leave of absence from P. N. Lebedev Physical Institute, Leninsky Pr. 53, 117924 Moscow, Russia
c Université de Toulon, CNRS, UMR 7332, 83957 La Garde, France
d Mathematics Laboratory of Versailles, LMV, CNRS UMR 8100, Versailles Saint-Quentin University, 45 avenue des Etas-Unis, 78035 Versailles Cedex, France
Full-text PDF (423 kB) Citations (7)
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DOI: https://doi.org/10.3842/SIGMA.2014.039
Abstract: A complete system of primitive pairwise orthogonal idempotents for cyclotomic Hecke algebras is constructed by consecutive evaluations of a rational function in several variables on quantum contents of multi-tableaux. This function is a product of two terms, one of which depends only on the shape of the multi-tableau and is proportional to the inverse of the corresponding Schur element.
Keywords: cyclotomic Hecke algebras; fusion formula; idempotents; Young tableaux; Jucys–Murphy elements; Schur element.
Received: September 28, 2013; in final form March 29, 2014; Published online April 1, 2014
Bibliographic databases:
Document Type: Article
MSC: 20C08; 05E10
Language: English
Citation: Oleg V. Ogievetsky, Loïc Poulain d'Andecy, “Fusion Procedure for Cyclotomic Hecke Algebras”, SIGMA, 10 (2014), 039, 13 pp.
Citation in format AMSBIB
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\paper Fusion Procedure for Cyclotomic Hecke Algebras
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\papernumber 039
\totalpages 13
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    • This publication is cited in the following 7 articles:
    Citing articles in Google Scholar: Russian citations, English citations
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    		Symmetry, Integrability and Geometry: Methods and Applications
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