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