BRAID GROUP AND q-RACAH POLYNOMIALS - Archive ouverte HAL Accéder directement au contenu
Article Dans Une Revue Proceedings of the American Mathematical Society Année : 2021

BRAID GROUP AND q-RACAH POLYNOMIALS

Nicolas Crampé

Résumé

The irreducible representations of two intermediate Casimir elements associated to the recoupling of three identical irreducible representations of U q (sl 2) are considered. It is shown that these intermediate Casimirs are related by a conjugation involving braid group representations. Consequently, the entries of the braid group matrices are explicitly given in terms of the q-Racah polynomials which appear as 6j-symbols in the Racah problem for U q (sl 2). Formulas for these polynomials are derived from the algebraic relations satisfied by the braid group representations.
Fichier principal
Vignette du fichier
2106.02416.pdf (246.82 Ko) Télécharger le fichier
Origine : Fichiers produits par l'(les) auteur(s)

Dates et versions

hal-03808186 , version 1 (10-10-2022)

Identifiants

  • HAL Id : hal-03808186 , version 1

Citer

Nicolas Crampé. BRAID GROUP AND q-RACAH POLYNOMIALS. Proceedings of the American Mathematical Society, 2021. ⟨hal-03808186⟩
19 Consultations
46 Téléchargements

Partager

Gmail Facebook X LinkedIn More