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Quantum torsors with fewer axioms

Peter Schauenburg
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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.

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Peter Schauenburg. 2003-01-31. Quantum torsors with fewer axioms. https://arxiv.org/abs/math/0302003

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