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Quantized symplectic oscillator algebras of rank one

Wee Liang Gan, Nicolas Guay, Apoorva Khare

math.RTarXiv:math/0405176

Abstract

A quantized symplectic oscillator algebra of rank 1 is a PBW deformation of the smash product of the quantum plane with Uq(sl2). We study its representation theory, and in particular, its category O.

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