English

A note on free quantum groups

Quantum Algebra 2008-11-02 v2

Abstract

We study the free complexification operation for compact quantum groups, GGcG\to G^c. We prove that, with suitable definitions, this induces a one-to-one correspondence between free orthogonal quantum groups of infinite level, and free unitary quantum groups satisfying G=GcG=G^c.

Keywords

Cite

@article{arxiv.0710.0201,
  title  = {A note on free quantum groups},
  author = {Teodor Banica},
  journal= {arXiv preprint arXiv:0710.0201},
  year   = {2008}
}

Comments

9 pages

R2 v1 2026-06-21T09:24:21.122Z