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
References in corpus (1)
Cited by in corpus (10)
- Category O over a deformation of the symplectic oscillator algebra
- Poincare-Birkhoff-Witt deformations of smash product algebras from Hopf actions on Koszul algebras
- Poincare-Birkhoff-Witt Theorems
- Center and representations of infinitesimal Hecke algebras of sl_2
- Axiomatic framework for the BGG category O
- Functoriality of the BGG Category O
- BGG category for the quantum Schrödinger algebra
- The category of weight modules for symplectic oscillator Lie algebras
- Cleft extensions of Koszul twisted Calabi-Yau algebras
- Simple weight modules over the quantum Schrödinger algebra