Naslov
Parafermionic bases of standard modules for affine Lie algebras

Autori
Butorac, Marijana ; Kožić, Slaven ; Primc, Mirko

Izvornik
Mathematische Zeitschrift (0025-5874) 298 (2021); 1003-1032

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

Ključne riječi
affine Lie algebras ; parafermionic space ; combinatorial bases

Sažetak
In this paper we construct combinatorial bases of parafermionic spaces associated with the standard modules of the rectangular highest weights for the untwisted affine Lie algebras. Our construction is a modification of G. Georgiev's construction for the affine Lie algebra $\widehat{; ; ; ; ; ; ; ; \mathfrak sl}; ; ; ; ; ; ; ; (n+1, \mathbb C)$---the constructed parafermionic bases are projections of the quasi-particle bases of the principal subspaces, obtained previously in a series of papers by the first two authors. As a consequence we prove the character formula of A. Kuniba, T. Nakanishi and J. Suzuki for all non-simply-laced untwisted affine Lie algebras.

Izvorni jezik
Engleski

Znanstvena područja
Matematika

POVEZANOST RADA