Pregled bibliografske jedinice broj: 1098472
Classification of irreducible modules for Bershadsky–Polyakov algebra at certain levels
Classification of irreducible modules for Bershadsky–Polyakov algebra at certain levels // Journal of algebra and its applications, 20 (2021), 6; 2150102, 10 doi:10.1142/s0219498821501024 (međunarodna recenzija, članak, znanstveni)
CROSBI ID: 1098472 Za ispravke kontaktirajte CROSBI podršku putem web obrasca
Naslov
Classification of irreducible modules for
Bershadsky–Polyakov algebra at certain levels
Autori
Adamović, Dražen ; Kontrec, Ana
Izvornik
Journal of algebra and its applications (0219-4988) 20
(2021), 6;
2150102, 10
Vrsta, podvrsta i kategorija rada
Radovi u časopisima, članak, znanstveni
Ključne riječi
Vertex algebra ; W-algebras ; Bershadsky–Polyakov algebra ; Zhu’s algebra
Sažetak
We study the representation theory of the Bershadsky–Polyakov algebra W_k=W_k(sl_3, f_θ). In particular, Zhu algebra of Wk is isomorphic to a certain quotient of the Smith algebra, after changing the Virasoro vector. We classify all modules in the category O for the Bershadsky– Polyakov algebra W_k for k=−5/3, −9/4, −1, 0. In the case k=0, we show that the Zhu algebra A(W_k) has two-dimensional indecomposable modules.
Izvorni jezik
Engleski
Znanstvena područja
Matematika
POVEZANOST RADA
Projekti:
--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
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
