English

A class of left quantum groups modeled after SL_q(n)

Quantum Algebra 2009-08-27 v1 Rings and Algebras

Abstract

For each n >1, we construct a left quantum group, i.e., a left Hopf algebra H generated by comatrix units X_{ij} and modeled after SL_q(n), which has a left antipode but no right antipode. The quantum special linear group SL_q(n) is a homomorphic image of our H.

Keywords

Cite

@article{arxiv.0908.3718,
  title  = {A class of left quantum groups modeled after SL_q(n)},
  author = {Aaron Lauve and Earl J. Taft},
  journal= {arXiv preprint arXiv:0908.3718},
  year   = {2009}
}

Comments

8 pages

R2 v1 2026-06-21T13:38:57.095Z