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Quantum Groups,Deformed Oscillators and their Interrelations

E. V. Damaskinsky·P. P. Kulish
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Abstract

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

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E. V. Damaskinsky, P. P. Kulish. 1995-01-06. Quantum Groups,Deformed Oscillators and their Interrelations. https://arxiv.org/abs/q-alg/9501006

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