Naslov
A CONSTRUCTION OF SOME IDEALS IN AFFINE VERTEX ALGEBRAS

Autori
Adamović, Dražen

Izvornik
International Journal of Mathematics and Mathematical Sciences (0161-1712) 15 (2003); 971-980

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

Ključne riječi
vertex algebra; affine Lie algebra; singular vectors; ideals; Zhu's algebra; Weyl algebra

Sažetak
We study ideals generated by singular vectors in vertex operator algebras associated with representations of affine Lie algebras of types A and C. We find new explicit formulas for singular vectors in these vertex operator algebras at integer and half-integer levels. These formulas generalize the expressions for singular vectors from Adamović, Glasnik Matematički 29(49) (1994). As a consequence, we obtain a new family of vertex operator algebras for which we identify the associated Zhu's algebras. A connection with the representation theory of Weyl algebras is also discussed.

Izvorni jezik
Engleski

Znanstvena područja
Matematika

POVEZANOST RADA