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...
Saved in:
| Published in: | Symmetry, Integrability and Geometry: Methods and Applications |
|---|---|
| Date: | 2014 |
| Main Authors: | , |
| Format: | Article |
| Language: | English |
| Published: |
Інститут математики НАН України
2014
|
| Online Access: | https://nasplib.isofts.kiev.ua/handle/123456789/146821 |
| Tags: |
Add Tag
No Tags, Be the first to tag this record!
|
| Journal Title: | Digital Library of Periodicals of National Academy of Sciences of Ukraine |
| 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. |
Institution
Digital Library of Periodicals of National Academy of Sciences of Ukraine| _version_ | 1862739301383536640 |
|---|---|
| author | Ogievetsky, O.V. Loïc Poulain d'Andecy |
| author_facet | Ogievetsky, O.V. Loïc Poulain d'Andecy |
| 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. |
| collection | DSpace DC |
| container_title | Symmetry, Integrability and Geometry: Methods and Applications |
| 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.
|
| first_indexed | 2025-12-07T20:08:05Z |
| format | Article |
| fulltext | |
| id | nasplib_isofts_kiev_ua-123456789-146821 |
| institution | Digital Library of Periodicals of National Academy of Sciences of Ukraine |
| issn | 1815-0659 |
| language | English |
| last_indexed | 2025-12-07T20:08:05Z |
| publishDate | 2014 |
| publisher | Інститут математики НАН України |
| record_format | dspace |
| spelling | 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 |
| spellingShingle | Fusion Procedure for Cyclotomic Hecke Algebras Ogievetsky, O.V. Loïc Poulain d'Andecy |
| title | 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_short | Fusion Procedure for Cyclotomic Hecke Algebras |
| title_sort | fusion procedure for cyclotomic hecke algebras |
| url | https://nasplib.isofts.kiev.ua/handle/123456789/146821 |
| work_keys_str_mv | AT ogievetskyov fusionprocedureforcyclotomicheckealgebras AT loicpoulaindandecy fusionprocedureforcyclotomicheckealgebras |