Pregled bibliografske jedinice broj: 1132156
On the quantum affine vertex algebra associated with trigonometric R-matrix
On the quantum affine vertex algebra associated with trigonometric R-matrix // Selecta mathematica, New series, 27 (2021), 3; 45, 49 doi:10.1007/s00029-021-00666-x (međunarodna recenzija, članak, znanstveni)
CROSBI ID: 1132156 Za ispravke kontaktirajte CROSBI podršku putem web obrasca
Naslov
On the quantum affine vertex algebra associated with trigonometric R-matrix
Autori
Kožić, Slaven
Izvornik
Selecta mathematica, New series (1022-1824) 27
(2021), 3;
45, 49
Vrsta, podvrsta i kategorija rada
Radovi u časopisima, članak, znanstveni
Ključne riječi
Quantum affine algebra ; Quantum vertex algebra ; ϕ-Coordinated module ; Quantum current
Sažetak
We apply the theory of ϕ-coordinated modules, developed by H.-S. Li, to the Etingof–Kazhdan quantum affine vertex algebra associated with the trigonometric R-matrix of type A. We prove, for a certain associate ϕ of the one-dimensional additive formal group, that any (irreducible) ϕ-coordinated module for the level c∈C quantum affine vertex algebra is naturally equipped with a structure of (irreducible) restricted level c module for the quantum affine algebra in type A and vice versa. In the end, we discuss relation between the centers of the quantum affine algebra and the quantum affine vertex algebra.
Izvorni jezik
Engleski
Znanstvena područja
Matematika
POVEZANOST RADA
Projekti:
HRZZ-UIP-2019-04-8488 - Algebre kvantnih struja i njihova teorija reprezentacija (QuantumCART) (Kožić, Slaven, HRZZ - 2019-04) ( CroRIS)
Ustanove:
Prirodoslovno-matematički fakultet, Matematički odjel, Zagreb,
Prirodoslovno-matematički fakultet, Zagreb
Profili:
Slaven Kožić
(autor)
Citiraj ovu publikaciju:
Časopis indeksira:
- Current Contents Connect (CCC)
- Web of Science Core Collection (WoSCC)
- Science Citation Index Expanded (SCI-EXP)
- SCI-EXP, SSCI i/ili A&HCI
- Scopus
