5 papers
Evaluation-type deformed modules over the quantum affine vertex algebras of type
Lucia Bagnoli, Slaven Kožić
Let be Etingof-Kazhdan's quantum affine vertex algebra associated with the trigonometric -matrix. We establish a connection between suitably gen…
Quasi-particles and the Kanade-Russell and Kurşungöz formula for Capparelli's identity
Marijana Butorac, Slaven Kožić, Mirko Primc
We construct a quasi-particle basis of the integrable highest weight module of highest weight for the twisted affine Lie algebra of type in the principal realiza…
Associating modules for the -Yangian and quantum elliptic algebra in type with -adic quantum vertex algebras
Lucia Bagnoli, Naihuan Jing, Slaven Kožić
We consider the Etingof-Kazhdan quantum vertex algebra associated with the trigonometric and elliptic -matrix of type We establish a connection between (…
Associating deformed -coordinated modules for the quantum affine vertex algebra with orthogonal twisted -Yangians
Lucia Bagnoli, Slaven Kožić
We consider the Etingof-Kazhdan quantum vertex algebra associated with the trigonometric -matrix of type . By combining Li's theory of -co…
Lepowsky's and Wakimoto's product formulas for the affine Lie algebras
Marijana Butorac, Slaven Kožić, Arne Meurman +1
In this paper, we recall Lepowsky's and Wakimoto's product character formulas formulated in a new way by using arrays of specialized weighted crystals of negative roots for affine…