Fusion Procedure for Cyclotomic Hecke Algebras

• Published in: Symmetry, Integrability and Geometry: Methods and Applications
• Date: 2014
• Main Authors: Ogievetsky, O.V., Loïc Poulain d'Andecy
• Format: Article
• Language: English
• Published: Інститут математики НАН України 2014
• Online Access: https://nasplib.isofts.kiev.ua/handle/123456789/146821
• 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.

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...