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Pregled bibliografske jedinice broj: 991325

Realizations of Simple Affine Vertex Algebras and Their Modules: The Cases 𝑠𝑙(2)ˆ and 𝑜𝑠𝑝(1, 2)^


Adamović, Dražen
Realizations of Simple Affine Vertex Algebras and Their Modules: The Cases 𝑠𝑙(2)ˆ and 𝑜𝑠𝑝(1, 2)^ // Communications in Mathematical Physics, 366 (2019), 3; 1025-1067 doi:10.1007/s00220-019-03328-4 (međunarodna recenzija, članak, znanstveni)


Naslov
Realizations of Simple Affine Vertex Algebras and Their Modules: The Cases 𝑠𝑙(2)ˆ and 𝑜𝑠𝑝(1, 2)^
(Realizations of Simple Affine Vertex Algebras and Their Modules: The Cases {;widehat{;sl(2)};}; s l ( 2 ) ^ and {;widehat{;osp(1, 2)};}; o s p ( 1 , 2 ) ^)

Autori
Adamović, Dražen

Izvornik
Communications in Mathematical Physics (0010-3616) 366 (2019), 3; 1025-1067

Vrsta, podvrsta i kategorija rada
Radovi u časopisima, članak, znanstveni

Ključne riječi
Affine vertex algebras, realizations, relaxed modules, Whittaker modules

Sažetak
We study the embeddings of the simple admissible affine vertex algebras 𝑉_𝑘(𝑠𝑙(2))$ and 𝑉𝑘(𝑜𝑠𝑝(1, 2)) , 𝑘∉ℤ≥0 , into the tensor product of rational Virasoro and N = 1 Neveu–Schwarz vertex algebra with lattice vertex algebras. By using these realizations we construct a family of weight, logarithmic, and Whittaker 𝑠𝑙(2)ˆ and 𝑜𝑠𝑝(1, 2)ˆ -modules. As an application, we construct all irreducible degenerate Whittaker modules for 𝑉𝑘(𝑠𝑙(2)) .

Izvorni jezik
Engleski

Znanstvena područja
Matematika



POVEZANOST RADA


Projekt / tema
HRZZ-IP-2013-11-2634 - Algebarske i kombinatorne metode u teoriji verteks algebri (Dražen Adamović, )
ZCI QuantiXLie

Ustanove
Prirodoslovno-matematički fakultet, Matematički odjel, Zagreb

Autor s matičnim brojem:
Dražen Adamović, (196061)

Časopis indeksira:


  • Current Contents Connect (CCC)
  • Web of Science Core Collection (WoSCC)
    • Science Citation Index Expanded (SCI-EXP)
  • Scopus


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