Pregled bibliografske jedinice broj: 1174245
Weyl vertex algebra: Whittaker modules and fusion rules
Weyl vertex algebra: Whittaker modules and fusion rules // Vertex Operator Algebras and Related Topics
Sjedinjene Američke Države, 2021. str. 1-1 (pozvano predavanje, međunarodna recenzija, sažetak, znanstveni)
CROSBI ID: 1174245 Za ispravke kontaktirajte CROSBI podršku putem web obrasca
Naslov
Weyl vertex algebra: Whittaker modules and fusion
rules
Autori
Adamović, Dražen ; Lam, C.H. ; Pedić, Veronika ; Yu, N.
Vrsta, podvrsta i kategorija rada
Sažeci sa skupova, sažetak, znanstveni
Skup
Vertex Operator Algebras and Related Topics
Mjesto i datum
Sjedinjene Američke Države, 09.04.2021. - 10.04.2021
Vrsta sudjelovanja
Pozvano predavanje
Vrsta recenzije
Međunarodna recenzija
Ključne riječi
Vertex algebras, vertex operator algebras, fusion rules, intertwining operators, Lie superalgebra
Sažetak
Weyl vertex algebra (beta-gamma ghost) is an important object both in physics (string theory) and in mathematics (representation theory), arising as a module for the Weyl associative algebra. In this talk we give some information on the Weyl vertex algebra and its modules. In particular, in the first part we prove that irreducible modules of a VOA are also irreducible for its orbifolds under some conditions, and demonstrate this on the example of Whittaker modules for the Weyl vertex algebra. In the second part, we describe fusion rules in the category of weight modules for the Weyl vertex algebra and explicitly construct the associated intertwining operators. This talk is based on two papers, first one joint with D. Adamovic, C.-H. Lam and N. Yu, and the second one with D. Adamovic.
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
