Quantum Groups,Deformed Oscillators and their Interrelations

Abstract

The main notions of the quantum groups: coproduct, action and coaction, representation and corepresentation are discussed using simplest examples: GLq(2), slq(2), q-oscillator algebra A(q), and reflection equation algebra. The Gauss decompositions of quantum groups and their realizations in terms of\, A(q) are given.

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