Pregled bibliografske jedinice broj: 1159113
Principal subspaces for the quantum affine vertex algebra in type A1(1)
Principal subspaces for the quantum affine vertex algebra in type A1(1) // Journal of pure and applied algebra, 226 (2022), 6; 106973, 14 doi:10.1016/j.jpaa.2021.106973 (međunarodna recenzija, članak, znanstveni)
CROSBI ID: 1159113 Za ispravke kontaktirajte CROSBI podršku putem web obrasca
Naslov
Principal subspaces for the quantum affine vertex
algebra in type A1(1)
Autori
Butorac, Marijana ; Kožić, Slaven
Izvornik
Journal of pure and applied algebra (0022-4049) 226
(2022), 6;
106973, 14
Vrsta, podvrsta i kategorija rada
Radovi u časopisima, članak, znanstveni
Ključne riječi
Quantum vertex algebra ; Principal subspace ; Combinatorial bases
Sažetak
By using the ideas of Feigin and Stoyanovsky and Calinescu, Lepowsky and Milas we introduce and study the principal subspaces associated with the Etingof–Kazhdan quantum affine vertex algebra of integer level k>=1 and type A1(1). We show that the principal subspaces possess the quantum vertex algebra structure, which turns to the usual vertex algebra structure of the principal subspaces of generalized Verma and standard modules at the classical limit. Moreover, we find their topological quasi-particle bases which correspond to the sum sides of certain Rogers–Ramanujan-type identities.
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)
--KK.01.1.1.01.0004 - Provedba vrhunskih istraživanja u sklopu Znanstvenog centra izvrsnosti za kvantne i kompleksne sustave te reprezentacije Liejevih algebri (QuantiXLie) (Buljan, Hrvoje; Pandžić, Pavle) ( CroRIS)
Ustanove:
Prirodoslovno-matematički fakultet, Matematički odjel, Zagreb,
Prirodoslovno-matematički fakultet, Zagreb,
Sveučilište u Rijeci, Fakultet za matematiku
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
