English

Two-parameter quantum groups and quantum planes

q-alg 2008-02-03 v1 Quantum Algebra

Abstract

Usually the generators of a quantum group are assumed to be commutative with the noncommuting coordinates of a quantum plane. We have relaxed the assumption and investigated its consequences. Not only does a two-parameter quantum group arise naturally, but also the formulation leads us to many probable quantum planes associated with a quantum group. Several examples are presented.

Keywords

Cite

@article{arxiv.q-alg/9606024,
  title  = {Two-parameter quantum groups and quantum planes},
  author = {Sunggoo Cho and Sang-jun Kang and Chung-hum Kim and Kwang Sung Park},
  journal= {arXiv preprint arXiv:q-alg/9606024},
  year   = {2008}
}

Comments

Latex, 14 pages with no figure