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I have stated the relation
Drinfeld double $\leftrightarrow$ Drinfeld center
more explicitly in both entries (but still without any details).
Then I made that a row in the table structure on algebras and their module categories - table
The canonical name is center of a monoidal category. Some recent articles started using the name “Drinfeld center” as it generalizes the Drinfeld double, in a sense, but the construction is due Shahn Majid and it has a relative version right away (see Majid’s Foundations book, chapter IX).
Ross Street has a paper on realizing it as sort of a 2-categorical limit.
Redicrects are in place. If you feel the entry should be renamed, please do.
The Street-reference I have included now. Too bad that this does not relate to the important characterization via “endomorphisms of the identity”. (Or maybe it’s implicit somewhere? I have only glanced over it.)
No, it is just a comment on the background.
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