Pregled bibliografske jedinice broj: 898759
Higher level vertex operators for Uq(sl^2)
Higher level vertex operators for Uq(sl^2) // Selecta mathematica, New series, 23 (2017), 4; 2397-2436 doi:10.1007/s00029-017-0348-0 (međunarodna recenzija, članak, znanstveni)
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Naslov
Higher level vertex operators for Uq(sl^2)
Autori
Kožić, Slaven
Izvornik
Selecta mathematica, New series (1022-1824) 23
(2017), 4;
2397-2436
Vrsta, podvrsta i kategorija rada
Radovi u časopisima, članak, znanstveni
Ključne riječi
Affine Lie algebra ; Quantum affine algebra ; Quantum vertex algebra ; Principal subspace ; Quasi-particle ; Combinatorial basis ; Rogers-Ramanujan identities
Sažetak
We study graded nonlocal q−vertex algebras and we prove that they can be generated by certain sets of vertex operators. As an application, we consider the family of graded nonlocal q-vertex algebras Vc, 1, c≥1, associated with the principal subspaces W(cΛ0) of the integrable highest weight Uq(slˆ2)-modules L(cΛ0). Using quantum integrability, we derive combinatorial bases for Vc, 1 and compute the corresponding character formulae.
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, Zagreb
Profili:
Slaven Kožić
(autor)
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
Uključenost u ostale bibliografske baze podataka::
- Zentralblatt Math
- Academic OneFile
- Current Abstracts
- Gale
- Mathematical Review