Pregled bibliografske jedinice broj: 952282
Leading terms of relations for standard modules of affine Lie algebras C_n^(1)
Leading terms of relations for standard modules of affine Lie algebras C_n^(1) // Ramanujan journal, 48 (2019), 3; 509-543 doi:10.1007/s11139-018-0052-5 (međunarodna recenzija, članak, znanstveni)
CROSBI ID: 952282 Za ispravke kontaktirajte CROSBI podršku putem web obrasca
Naslov
Leading terms of relations for standard modules of affine Lie algebras C_n^(1)
Autori
Primc, Mirko ; Šikić, Tomislav
Izvornik
Ramanujan journal (1382-4090) 48
(2019), 3;
509-543
Vrsta, podvrsta i kategorija rada
Radovi u časopisima, članak, znanstveni
Ključne riječi
Affine (Kac–Moody)Lie algebras ; Vertex operator algebras ; Integrable highest weight representations ; Combinatorial bases of standard modules ; Leading terms of defining relations ; Rogers–Ramanujan type identities
Sažetak
In this paper, we give a combinatorial parametrization of leading terms of defining relations for the vacuum level k standard modules for the affine Lie algebra of type C_n^(1). Using this parametrization, we conjecture colored Rogers–Ramanujan type combinatorial identities for n ≥ 2 and k ≥ 2 ; the identity in the case n = k = 1 is equivalent to one of Capparelli’s identities.
Izvorni jezik
Engleski
Znanstvena područja
Matematika
POVEZANOST RADA
Projekti:
KK.01.1.1.01.0004 -QuantiXLie Centre of Excellence
HRZZ-IP-2013-11-2634 - Algebarske i kombinatorne metode u teoriji verteks algebri (ACMVAT) (Adamović, Dražen, HRZZ - 2013-11) ( CroRIS)
Ustanove:
Fakultet elektrotehnike i računarstva, Zagreb,
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
