PRV for the fusion product, the case λ ≫ μ

BOYSAL, ARZU

doi:10.1007/s00209-021-02754-2

PRV for the fusion product, the case λ ≫ μ

BOYSAL A.

Mathematische Zeitschrift, cilt.299, sa.3-4, ss.1897-1906, 2021 (SCI-Expanded, Scopus)

Yayın Türü: Makale / Tam Makale
Cilt numarası: 299 Sayı: 3-4
Basım Tarihi: 2021
Doi Numarası: 10.1007/s00209-021-02754-2
Dergi Adı: Mathematische Zeitschrift
Derginin Tarandığı İndeksler: Science Citation Index Expanded (SCI-EXPANDED), Scopus, MathSciNet, zbMATH, DIALNET
Sayfa Sayıları: ss.1897-1906
Anahtar Kelimeler: Fusion product, Fusion ring, PRV components, PRV weights
Boğaziçi Üniversitesi Adresli: Evet

Özet

Given a complex simple Lie algebra g and a positive integer ℓ, under the assumption λ ≫ μ, we show that irreducible representations of g of the form V(λ + wμ) , w∈ W, with level at most ℓ appear in the fusion product of V(λ) and V(μ). This verifies the existence of PRV components for the fusion product in this special case.