English

Quantum torsors with fewer axioms

Quantum Algebra 2007-05-23 v1

Abstract

We give a definition of a noncommutative torsor by a subset of the axioms previously given by Grunspan. We show that noncommutative torsors are an equivalent description of Hopf-Galois objects (without specifying the Hopf algebra). In particular, this shows that the endomorphism of a torsor featuring in Grunspan's definition is redundant.

Keywords

Cite

@article{arxiv.math/0302003,
  title  = {Quantum torsors with fewer axioms},
  author = {Peter Schauenburg},
  journal= {arXiv preprint arXiv:math/0302003},
  year   = {2007}
}

Comments

7 pages