Fusion procedure for Yokonuma-Hecke algebras

Abstract

Inspired by the work [PA1], in this note, we prove that a complete set of pairwise orthogonal primitive idempotents of Yokonuma-Hecke algebras can be obtained by consecutive evaluations of a certain rational function.

Fusion procedures of cyclotomic Y-H algebras are done in arXiv:1506.07321 as an appendix. arXiv admin note: substantial text overlap with arXiv:1208.4884; text overlap with arXiv:1301.4399 by other authors

References in corpus (5)

• On the idempotents of Hecke algebras
• A mixed hook-length formula for affine Hecke algebras
• Cyclotomic Yokonuma-Hecke algebras are cyclotomic quiver Hecke algebras
• The affine Yokonuma-Hecke algebra and the pro-$p$-Iwahori-Hecke algebra
• A categorical equivalence between affine Yokonuma-Hecke algebras and some quiver Hecke algebras

Cited by in corpus (1)

• On crystal bases of two-parameter $(v,t)$-quantum groups