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Pregled bibliografske jedinice broj: 517160

Some general results on conformal embeddings of affine vertex operator algebras


Adamović, Dražen; Perše, Ozren
Some general results on conformal embeddings of affine vertex operator algebras // Algebras and representation theory, 16 (2013), 1; 51-64 doi:10.1007/s10468-011-9293-3 (međunarodna recenzija, članak, znanstveni)


CROSBI ID: 517160 Za ispravke kontaktirajte CROSBI podršku putem web obrasca

Naslov
Some general results on conformal embeddings of affine vertex operator algebras

Autori
Adamović, Dražen ; Perše, Ozren

Izvornik
Algebras and representation theory (1386-923X) 16 (2013), 1; 51-64

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

Ključne riječi
vertex operator algebra; affine Kac-Moody algebra; conformal embedding; Virasoro algebra; fusion rules

Sažetak
We give a general criterion for conformal embeddings of vertex operator algebras associated to affine Lie algebras at arbitrary levels. Using that criterion, we construct new conformal embeddings at admissible rational and negative integer levels. In particular, we construct all remaining conformal embeddings associated to automorphisms of Dynkin diagrams of simple Lie algebras. The semisimplicity of the corresponding decompositions is obtained by using the concept of fusion rules for vertex operator algebras.

Izvorni jezik
Engleski

Znanstvena područja
Matematika



POVEZANOST RADA


Projekti:
037-0372794-2806 - Algebre verteks-operatora i beskonačno dimenzionalne Liejeve algebre (Primc, Mirko, MZOS ) ( CroRIS)

Ustanove:
Prirodoslovno-matematički fakultet, Matematički odjel, Zagreb

Profili:

Avatar Url Dražen Adamović (autor)

Avatar Url Ozren Perše (autor)

Poveznice na cjeloviti tekst rada:

doi www.springerlink.com

Citiraj ovu publikaciju:

Adamović, Dražen; Perše, Ozren
Some general results on conformal embeddings of affine vertex operator algebras // Algebras and representation theory, 16 (2013), 1; 51-64 doi:10.1007/s10468-011-9293-3 (međunarodna recenzija, članak, znanstveni)
Adamović, D. & Perše, O. (2013) Some general results on conformal embeddings of affine vertex operator algebras. Algebras and representation theory, 16 (1), 51-64 doi:10.1007/s10468-011-9293-3.
@article{article, author = {Adamovi\'{c}, Dra\v{z}en and Per\v{s}e, Ozren}, year = {2013}, pages = {51-64}, DOI = {10.1007/s10468-011-9293-3}, keywords = {vertex operator algebra, affine Kac-Moody algebra, conformal embedding, Virasoro algebra, fusion rules}, journal = {Algebras and representation theory}, doi = {10.1007/s10468-011-9293-3}, volume = {16}, number = {1}, issn = {1386-923X}, title = {Some general results on conformal embeddings of affine vertex operator algebras}, keyword = {vertex operator algebra, affine Kac-Moody algebra, conformal embedding, Virasoro algebra, fusion rules} }
@article{article, author = {Adamovi\'{c}, Dra\v{z}en and Per\v{s}e, Ozren}, year = {2013}, pages = {51-64}, DOI = {10.1007/s10468-011-9293-3}, keywords = {vertex operator algebra, affine Kac-Moody algebra, conformal embedding, Virasoro algebra, fusion rules}, journal = {Algebras and representation theory}, doi = {10.1007/s10468-011-9293-3}, volume = {16}, number = {1}, issn = {1386-923X}, title = {Some general results on conformal embeddings of affine vertex operator algebras}, keyword = {vertex operator algebra, affine Kac-Moody algebra, conformal embedding, Virasoro algebra, fusion rules} }

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


Uključenost u ostale bibliografske baze podataka::


  • MathSciNet


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