Pregled bibliografske jedinice broj: 755062
Free field realization of the twisted Heisenberg-Virasoro algebra at level zero and its applications
Free field realization of the twisted Heisenberg-Virasoro algebra at level zero and its applications // Journal of pure and applied algebra, 219 (2015), 10; 4322-4342 doi:10.1016/j.jpaa.2015.02.019 (međunarodna recenzija, članak, znanstveni)
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Naslov
Free field realization of the twisted Heisenberg-Virasoro algebra at level zero and its applications
Autori
Adamović, Dražen ; Radobolja, Gordan
Izvornik
Journal of pure and applied algebra (0022-4049) 219
(2015), 10;
4322-4342
Vrsta, podvrsta i kategorija rada
Radovi u časopisima, članak, znanstveni
Ključne riječi
twisted Heisenberg-Virasoro algebra; W(2; 2)-algebra; Free fields; Schur polynomials; Singular vectors
Sažetak
We investigate the free field realization of the twisted Heisenberg–Virasoro algebra H at level zero. We completely describe the structure of the associated Fock representations. Using vertex-algebraic methods and screening operators we construct singular vectors in certain Verma modules as Schur polynomials. We completely solve the irreducibility problem for the tensor products of irreducible highest weight modules with intermediate series. We also determine the fusion rules for an interesting subcategory of H-modules. Finally, as an application we present a free-field realization of the W(2, 2)- algebra and interpret the W(2, 2)-singular vectors as H-singular vectors in Verma modules.
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, Matematički odjel, Zagreb,
Prirodoslovno-matematički fakultet, Split
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
