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Combinatorial bases of basic modules for affine Lie algebras C_{; ; ; n}; ; ; ^{; ; ; (1)}; ; ;


Primc, Mirko; Šikić, Tomislav
Combinatorial bases of basic modules for affine Lie algebras C_{; ; ; n}; ; ; ^{; ; ; (1)}; ; ; // Journal of mathematical physics, 57 (2016), 9; 091701-1 doi:10.1063/1.4962392 (međunarodna recenzija, članak, znanstveni)


Naslov
Combinatorial bases of basic modules for affine Lie algebras C_{; ; ; n}; ; ; ^{; ; ; (1)}; ; ;
(Combinatorial bases of basic modules for affine Lie algebras C_{; ; ; n}; ; ; ^{; ; ; 1)}; ; ;)

Autori
Primc, Mirko ; Šikić, Tomislav

Izvornik
Journal of mathematical physics (0022-2488) 57 (2016), 9; 091701-1

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 basic modules ; Rogers-Ramanujan type identities

Sažetak
J. Lepowsky and R.L. Wilson initiated the approach to combinatorial Rogers-Ramanujan type identities via vertex operator constructions of standard (i.e. integrable highest weight) representations of affine Kac-Moody Lie algebras. A.~Meurman and M.~Primc developed further this approach for $\mathfrak{; ; ; sl}; ; ; (2, \mathbb C)\widetilde{; ; ; }; ; ; \ $ by using vertex operator algebras and Verma modules. In this paper we use the same method to construct combinatorial bases of basic modules for affine Lie algebras of type $C_{; ; ; n}; ; ; ^{; ; ; (1)}; ; ; $ and, as a consequence, we obtain a series of Rogers-Ramanujan type identities. A major new insight is a combinatorial parametrization of leading terms of defining relations for level one standard modules for affine Lie algebra of type $C_{; ; ; n}; ; ; ^{; ; ; (1)}; ; ; $.

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
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


Uključenost u ostale bibliografske baze podataka:


  • MathSciNet


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