Quantized symplectic oscillator algebras of rank one
arXiv:math/0405176 · doi:10.1016/j.jalgebra.2006.06.051
Abstract
A quantized symplectic oscillator algebra of rank 1 is a PBW deformation of the smash product of the quantum plane with U_q(sl_2). We study its representation theory, and in particular, its category O.
35 pages. Final version, to appear in Journal of Algebra