Quantum Groups,Deformed Oscillators and their Interrelations

E. V. Damaskinsky; P. P. Kulish

Quantum Groups,Deformed Oscillators and their Interrelations

q-alg 2016-09-08 v1 量子代数

作者: E. V. Damaskinsky , P. P. Kulish

摘要

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.

关键词

quantum groups quantum group representations groupoid actions

引用

@article{arxiv.q-alg/9501006,
  title  = {Quantum Groups,Deformed Oscillators and their Interrelations},
  author = {E. V. Damaskinsky and P. P. Kulish},
  journal= {arXiv preprint arXiv:q-alg/9501006},
  year   = {2016}
}

备注

14p, LaTex

Quantum Groups,Deformed Oscillators and their Interrelations

摘要

关键词

引用

备注

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