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Pregled bibliografske jedinice broj: 32324

Vertex operator algebras and irreducibility of certain modules for affine Lie algebras


Adamović, Dražen
Vertex operator algebras and irreducibility of certain modules for affine Lie algebras // Mathematical research letters, 4 (1997), 809-821 (podatak o recenziji nije dostupan, znanstveni)


CROSBI ID: 32324 Za ispravke kontaktirajte CROSBI podršku putem web obrasca

Naslov
Vertex operator algebras and irreducibility of certain modules for affine Lie algebras

Autori
Adamović, Dražen

Izvornik
Mathematical research letters (1073-2780) 4 (1997); 809-821

Ključne riječi
affine Lie algebra; vertex operator algebra; Zhu's algebra; tensor products; loop modules; admissible representations

Sažetak
We find the connection between the representation theory of vertex operator algebra $L(k Lambda_0)$ and the irreducibility of tensor products $overline V(mu) otimes L(k Lambda_0)$. In the case of affine Lie algebra $A_1 ^{(1)}$, on every admissible rational level we construct a family of irreducible modules having infinite-dimensional weight spaces.

Izvorni jezik
Engleski

Znanstvena područja
Matematika



POVEZANOST RADA


Projekti:
037002

Ustanove:
Prirodoslovno-matematički fakultet, Matematički odjel, Zagreb

Profili:

Avatar Url Dražen Adamović (autor)


Citiraj ovu publikaciju:

Adamović, Dražen
Vertex operator algebras and irreducibility of certain modules for affine Lie algebras // Mathematical research letters, 4 (1997), 809-821 (podatak o recenziji nije dostupan, znanstveni)
Adamović, D. (1997) Vertex operator algebras and irreducibility of certain modules for affine Lie algebras. Mathematical research letters, 4, 809-821.
@article{article, author = {Adamovi\'{c}, Dra\v{z}en}, year = {1997}, pages = {809-821}, keywords = {affine Lie algebra, vertex operator algebra, Zhu's algebra, tensor products, loop modules, admissible representations}, journal = {Mathematical research letters}, volume = {4}, issn = {1073-2780}, title = {Vertex operator algebras and irreducibility of certain modules for affine Lie algebras}, keyword = {affine Lie algebra, vertex operator algebra, Zhu's algebra, tensor products, loop modules, admissible representations} }
@article{article, author = {Adamovi\'{c}, Dra\v{z}en}, year = {1997}, pages = {809-821}, keywords = {affine Lie algebra, vertex operator algebra, Zhu's algebra, tensor products, loop modules, admissible representations}, journal = {Mathematical research letters}, volume = {4}, issn = {1073-2780}, title = {Vertex operator algebras and irreducibility of certain modules for affine Lie algebras}, keyword = {affine Lie algebra, vertex operator algebra, Zhu's algebra, tensor products, loop modules, admissible representations} }

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





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