Quantum Groups,Deformed Oscillators and their Interrelations

Details Quantum Groups,Deformed Oscillators and their Interrelations Quantum Groups,Deformed Oscillators and their Interrelations

1995-01-06

arxiv.org/abs/q-alg/9501006v1

Mathematics

Quantum Algebra

14p, LaTex

Scientific paper

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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