Monoidal Morita equivalence

Details Monoidal Morita equivalence Monoidal Morita equivalence

2004-10-18

arxiv.org/abs/math/0410407v1

Mathematics

Quantum Algebra

17 pages, talk given in "Noncommutative Geometry and Representation Theory in Mathematical Physics" conference in Karlstad, Sw

Scientific paper

The monoidal version of classical Morita theory is a theory of bialgebroids. To make this explicit we construct a bicategory the objects of which are the bialgebroids and in which equivalence of objects means that the corresponding module categories are monoidally equivalent. The module categories of bialgebroids and of Frobenius Hopf algebroids are characterized by the existence of strong comonoid progenerators and strong Frobenius progenerators, respectively.

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