Parafermionic bases of standard modules for affine Lie algebras (CROSBI ID 287386)
Prilog u časopisu | izvorni znanstveni rad | međunarodna recenzija
Podaci o odgovornosti
Butorac, Marijana ; Kožić, Slaven ; Primc, Mirko
engleski
Parafermionic bases of standard modules for affine Lie algebras
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.
affine Lie algebras ; parafermionic space ; combinatorial bases
nije evidentirano
nije evidentirano
nije evidentirano
nije evidentirano
nije evidentirano
nije evidentirano
Podaci o izdanju
298
2021.
1003-1032
objavljeno
0025-5874
1432-1823
10.1007/s00209-020-02639-w