Generalized $q$-boson algebras and their integrable modules

2026-07-072026-07-07http://salesiana.dossiersoluciones.com/handle/123456789/224019We define the generalized $q$-boson algebra $ \cmdB$ associated to a pair of Nichols algebras and a skew pairing. We study integrable $ \cmdB$-modules, generalizing results by M. Kashiwara and T. Nakashima on integrable modules over a $q$-boson (Kashiwara) algebra.18 pagesQuantum Algebra16W30; 17B37Generalized $q$-boson algebras and their integrable modulestext