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Quasi-particles in the principal picture of sl^2 and Rogers–Ramanujan-type identities


Kožić, Slaven; Primc, Mirko
Quasi-particles in the principal picture of sl^2 and Rogers–Ramanujan-type identities // Communications in contemporary mathematics, 20 (2018), 05; 1750073-1 doi:10.1142/S0219199717500730 (međunarodna recenzija, članak, znanstveni)


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; 1750073-1

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


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

Ustanove
Prirodoslovno-matematički fakultet, Matematički odjel, Zagreb

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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