Quantized symplectic oscillator algebras of rank one

Authors :: Apoorva Khare
Nicolas Guay
Wee Liang Gan
Source :: Journal of Algebra. 310(2):671-707
Publication Year :: 2007
Publisher :: Elsevier BV, 2007.
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.<br />35 pages. Final version, to appear in Journal of Algebra