Pregled bibliografske jedinice broj: 1103043
On the representation theory of affine vertex algebras at collapsing level
On the representation theory of affine vertex algebras at collapsing level // Workshop on Vertex Operator Algebras and Related Topics, Tianyuan Mathematical Center
Chengdu, Kina, 2019. str. 1-1 (predavanje, međunarodna recenzija, sažetak, znanstveni)
CROSBI ID: 1103043 Za ispravke kontaktirajte CROSBI podršku putem web obrasca
Naslov
On the representation theory of affine vertex
algebras at collapsing level
Autori
Adamović, Dražen
Vrsta, podvrsta i kategorija rada
Sažeci sa skupova, sažetak, znanstveni
Skup
Workshop on Vertex Operator Algebras and Related Topics, Tianyuan Mathematical Center
Mjesto i datum
Chengdu, Kina, 19.08.2019. - 23.08.2019
Vrsta sudjelovanja
Predavanje
Vrsta recenzije
Međunarodna recenzija
Ključne riječi
Vertex algebra ; W-algebra ; collapsing levels
Sažetak
In the first part of the talk we recall recent results on affine vertex algebras and minimal affine W-algebras. A level k is called collapsing when the simple minimal affine W-algebra at level k associated with simple Lie superalgebra is isomorphic to its affine vertex subalgebra. We present a proof of complete reducibility of affine vertex algebras at these levels which uses the representation theory of affine algebras and concepts in conformal embeddings (joint project with V. Kac, P. Moseneder-Frajria, P. Papi and O. Perse). The existence of indecomposable and logarithmic modules will be discussed. We also present some results for affine fusion rules at collapsing levels.
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
Profili:
Dražen Adamović
(autor)
