On the fusion procedure for the symmetric group

Abstract

We give a new version of the fusion procedure for the symmetric group which originated in the work of Jucys and was developed by Cherednik. We derive it from the Jucys-Murphy formulas for the diagonal matrix units for the symmetric group.

9 pages, reference to original work of Jucys (1971) was added

References in corpus (2)

• A mixed hook-length formula for affine Hecke algebras
• Rational representations of Yangians associated with skew Young diagrams

Cited by in corpus (5)

• A new fusion procedure for the Brauer algebra and evaluation homomorphisms
• On the idempotents of Hecke algebras
• Fusion procedure for the walled Brauer algebra
• Characteristic maps for the Brauer algebra
• On the Jucys-Murphy method and fusion procedure for the Sergeev superalgebra