Pregled bibliografske jedinice broj: 1103147
Construction of intertwining operators and logarithmic modules for Heisenberg-Virasoro vertex algebra at level zero and $W(2,2)$- algebra
Construction of intertwining operators and logarithmic modules for Heisenberg-Virasoro vertex algebra at level zero and $W(2,2)$- algebra // Representation Theory XV
Dubrovnik, Hrvatska, 2017. (pozvano predavanje, nije recenziran, neobjavljeni rad, znanstveni)
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Naslov
Construction of intertwining operators and logarithmic modules for
Heisenberg-Virasoro vertex algebra at level zero and $W(2,2)$-
algebra
Autori
Radobolja, Gordan
Vrsta, podvrsta i kategorija rada
Sažeci sa skupova, neobjavljeni rad, znanstveni
Skup
Representation Theory XV
Mjesto i datum
Dubrovnik, Hrvatska, 19.06.2017. - 24.06.2017
Vrsta sudjelovanja
Pozvano predavanje
Vrsta recenzije
Nije recenziran
Ključne riječi
vertex algebras, intertwining operators, fusion rules, screening operators
Sažetak
We recall our recent result on fusion rules and the representation theory of the Heisenberg-Virasoro vertex algebra at level zero (arXiv:1405.1707 ; arXiv 1703.00531). We present fusion rules and explicitly realize corresponding intertwining operators for irreducible highest weight modules which are not Verma. We also present a realization of interesting family of logarithmic modules. In the end we discuss some applications to the vertex algebra W(2, 2) which is realized as subalgebra of the Heisenberg-Virasoro vertex algebra at level zero. (This is a joint work with D. Adamović).
Izvorni jezik
Engleski
Znanstvena područja
Matematika
POVEZANOST RADA
Projekti:
HRZZ-IP-2013-11-2634 - Algebarske i kombinatorne metode u teoriji verteks algebri (ACMVAT) (Adamović, Dražen, HRZZ - 2013-11) ( CroRIS)
Ustanove:
Prirodoslovno-matematički fakultet, Split
Profili:
Gordan Radobolja
(autor)
