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Bases of Feigin–Stoyanovsky’s type subspaces for C_l^(1)


Baranović , Ivana; Primc, Mirko; Trupčević, Goran
Bases of Feigin–Stoyanovsky’s type subspaces for C_l^(1) // Ramanujan journal, 45 (2018), 1; 265-289 doi:10.1007/s11139-016-9840-y (međunarodna recenzija, članak, znanstveni)


Naslov
Bases of Feigin–Stoyanovsky’s type subspaces for C_l^(1)

Autori
Baranović , Ivana ; Primc, Mirko ; Trupčević, Goran

Izvornik
Ramanujan journal (1382-4090) 45 (2018), 1; 265-289

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

Ključne riječi
Affine Lie algebras ; Combinatorial bases ; Principal subspace ; Intertwining operators ; Simple current

Sažetak
In this paper, we construct combinatorial bases of Feigin–Stoyanovsky’s type subspaces of standard modules for level $k$ affine Lie algebra C_l^(1). We prove spanning by using annihilating field x_\theta (z)^k+1 of standard modules. In the proof of linear independence, we use simple currents and intertwining operators whose existence is given by fusion rules.

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
Učiteljski fakultet, 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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