Pregled bibliografske jedinice broj: 949589
Quasi-particles in the principal picture of sl^2 and Rogers–Ramanujan-type identities
Quasi-particles in the principal picture of sl^2 and Rogers–Ramanujan-type identities // Communications in contemporary mathematics, 20 (2018), 05; 1750073, 37 doi:10.1142/S0219199717500730 (međunarodna recenzija, članak, znanstveni)
CROSBI ID: 949589 Za ispravke kontaktirajte CROSBI podršku putem web obrasca
Naslov
Quasi-particles in the principal picture of sl^2 and Rogers–Ramanujan-type identities
Autori
Kožić, Slaven ; Primc, Mirko
Izvornik
Communications in contemporary mathematics (0219-1997) 20
(2018), 05;
1750073, 37
Vrsta, podvrsta i kategorija rada
Radovi u časopisima, članak, znanstveni
Ključne riječi
Rogers-Ramanujan identities ; affine Lie algebras ; quasi-particles
Sažetak
In their seminal work Lepowsky and Wilson gave a vertex-operator theoretic interpretation of Gordon–Andrews–Bressoud’s generalization of Rogers-Ramanujan combinatorial identities, by constructing bases of vacuum spaces for the principal Heisenberg subalgebra of standard slˆ2-modules, parametrized with partitions satisfying certain difference 2 conditions. In this paper, we define quasi-particles in the principal picture of slˆ2 and construct quasi-particle monomial bases of standard slˆ2-modules for which principally specialized characters are given as products of sum sides of the corresponding analytic Rogers–Ramanujan-type identities with the character of the Fock space for the principal Heisenberg subalgebra.
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
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
