Pregled bibliografske jedinice broj: 1209906
Non-injective homomorphisms between certain Verma modules
Non-injective homomorphisms between certain Verma modules // Workshop on Representation Theory and Applications
São Paulo, Brazil, 2022. (pozvano predavanje, nije recenziran, neobjavljeni rad, znanstveni)
CROSBI ID: 1209906 Za ispravke kontaktirajte CROSBI podršku putem web obrasca
Naslov
Non-injective homomorphisms between certain Verma modules
Autori
Radobolja, Gordan
Vrsta, podvrsta i kategorija rada
Sažeci sa skupova, neobjavljeni rad, znanstveni
Skup
Workshop on Representation Theory and Applications
Mjesto i datum
São Paulo, Brazil, 25.04.2022. - 29.04.2022
Vrsta sudjelovanja
Pozvano predavanje
Vrsta recenzije
Nije recenziran
Ključne riječi
vertex algebras, Heisenberg-Virasoro superalgebra, intertwining operators, screening operator
Sažetak
We introduce the N=1 super Heisenberg-Virasoro algebra at level zero and present its representations. By studying Fock spaces we calculate characters of all irreducible highest weight modules. As a notable difference from classical (non-super) case, the maximal submodules in some highest weight modules are generated by a subsingular vector. In these cases there exist non-injective homomorphisms between the Verma modules. We use screening operators which appear in study of certain logarithmic vertex operator algebras and obtain explicit formulas for singular and subsingular vectors. This is a joint work with D. Adamović and B. Jandrić.
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, Split
Profili:
Gordan Radobolja
(autor)
