Quantized symplectic oscillator algebras of rank one

Details Quantized symplectic oscillator algebras of rank one Quantized symplectic oscillator algebras of rank one

2004-05-10

arxiv.org/abs/math/0405176v4

Journal of Algebra 310 (2007), no. 2, 671-707

Mathematics

Representation Theory

35 pages. Final version, to appear in Journal of Algebra

Scientific paper

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.

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