Fusion Procedure for Cyclotomic Hecke Algebras
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...
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| Published in: | Symmetry, Integrability and Geometry: Methods and Applications |
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| Date: | 2014 |
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| Format: | Article |
| Language: | English |
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Інститут математики НАН України
2014
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| Online Access: | https://nasplib.isofts.kiev.ua/handle/123456789/146821 |
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| Cite this: | Fusion Procedure for Cyclotomic Hecke Algebras / O.V. Ogievetsky, Loïc Poulain d'Andecy // Symmetry, Integrability and Geometry: Methods and Applications. — 2014. — Т. 10. — Бібліогр.: 15 назв. — англ. |
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Ogievetsky, O.V. Loïc Poulain d'Andecy 2019-02-11T16:23:28Z 2019-02-11T16:23:28Z 2014 Fusion Procedure for Cyclotomic Hecke Algebras / O.V. Ogievetsky, Loïc Poulain d'Andecy // Symmetry, Integrability and Geometry: Methods and Applications. — 2014. — Т. 10. — Бібліогр.: 15 назв. — англ. 1815-0659 2010 Mathematics Subject Classification: 20C08; 05E10 DOI:10.3842/SIGMA.2014.039 https://nasplib.isofts.kiev.ua/handle/123456789/146821 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. This paper is a contribution to the Special Issue in honor of Anatol Kirillov and Tetsuji Miwa. The full collection is available at http://www.emis.de/journals/SIGMA/InfiniteAnalysis2013.html. We thank the anonymous referees for valuable suggestions. en Інститут математики НАН України Symmetry, Integrability and Geometry: Methods and Applications Fusion Procedure for Cyclotomic Hecke Algebras Article published earlier |
| institution |
Digital Library of Periodicals of National Academy of Sciences of Ukraine |
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| title |
Fusion Procedure for Cyclotomic Hecke Algebras |
| spellingShingle |
Fusion Procedure for Cyclotomic Hecke Algebras Ogievetsky, O.V. Loïc Poulain d'Andecy |
| title_short |
Fusion Procedure for Cyclotomic Hecke Algebras |
| title_full |
Fusion Procedure for Cyclotomic Hecke Algebras |
| title_fullStr |
Fusion Procedure for Cyclotomic Hecke Algebras |
| title_full_unstemmed |
Fusion Procedure for Cyclotomic Hecke Algebras |
| title_sort |
fusion procedure for cyclotomic hecke algebras |
| author |
Ogievetsky, O.V. Loïc Poulain d'Andecy |
| author_facet |
Ogievetsky, O.V. Loïc Poulain d'Andecy |
| publishDate |
2014 |
| language |
English |
| container_title |
Symmetry, Integrability and Geometry: Methods and Applications |
| publisher |
Інститут математики НАН України |
| format |
Article |
| description |
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.
|
| issn |
1815-0659 |
| url |
https://nasplib.isofts.kiev.ua/handle/123456789/146821 |
| citation_txt |
Fusion Procedure for Cyclotomic Hecke Algebras / O.V. Ogievetsky, Loïc Poulain d'Andecy // Symmetry, Integrability and Geometry: Methods and Applications. — 2014. — Т. 10. — Бібліогр.: 15 назв. — англ. |
| work_keys_str_mv |
AT ogievetskyov fusionprocedureforcyclotomicheckealgebras AT loicpoulaindandecy fusionprocedureforcyclotomicheckealgebras |
| first_indexed |
2025-12-07T20:08:05Z |
| last_indexed |
2025-12-07T20:08:05Z |
| _version_ |
1850881432770052096 |