Generalized -boson algebras and their integrable modules
arXiv:0812.4495
Abstract
We define the generalized -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 -boson (Kashiwara) algebra.
18 pages