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The Uniqueness of Braidings on the Monoidal Category of Non-commutative Descent Data by Agore, A. L.; Caenepeel, S.; Militaru, G. is a scholarly article available to read on EtoBox.

What is The Uniqueness of Braidings on the Monoidal Category of Non-commutative Descent Data about?

Let $A$ be an algebra over a commutative ring $k$. It is known that the categories of non-commutative descent data, of comodules over the Sweedler canonical coring, of right $A$-modules with a flat connection are isomorphic as braided monoidal categories to the center of the category of $A$-bimodules. We prove that the braiding on these categories is unique if there exists a $k$-linear unitary map $E : A \to Z(A)$. This condition is satisfied if $k$ is a field or $A$ is a commutative or a separable algebra.

Author

Agore, A. L.; Caenepeel, S.; Militaru, G.

Published

2012

Language

EN