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: $GL_q(2)$, $sl_q(2)$, $q$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.
 Publication:

eprint arXiv:qalg/950100
 Pub Date:
 January 1995
 arXiv:
 arXiv:qalg/9501006
 Bibcode:
 1995q.alg.....1006D
 Keywords:

 Mathematics  Quantum Algebra
 EPrint:
 14p, LaTex