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Leading terms of relations for standard modules of affine Lie algebras C_n^(1)


Primc, Mirko; Šikić, Tomislav
Leading terms of relations for standard modules of affine Lie algebras C_n^(1) // The Ramanujan Journal, 48 (2019), 3; 509-543 doi:10.1007/s11139-018-0052-5 (međunarodna recenzija, članak, znanstveni)


Naslov
Leading terms of relations for standard modules of affine Lie algebras C_n^(1)

Autori
Primc, Mirko ; Šikić, Tomislav

Izvornik
The 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


Projekt / tema
HRZZ-IP-2013-11-2634 - Algebarske i kombinatorne metode u teoriji verteks algebri (Dražen Adamović, )
KK.01.1.1.01.0004 -QuantiXLie Centre of Excellence

Ustanove
Fakultet elektrotehnike i računarstva, Zagreb,
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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