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• CommentRowNumber1.
• CommentAuthorUrs
• CommentTimeApr 8th 2013
• CommentRowNumber2.
• CommentAuthorUrs
• CommentTimeApr 8th 2013
• (edited Apr 8th 2013)

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

• CommentRowNumber3.
• CommentAuthorzskoda
• CommentTimeApr 8th 2013
• (edited Apr 8th 2013)

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.

• CommentRowNumber4.
• CommentAuthorUrs
• CommentTimeApr 8th 2013
• (edited Apr 8th 2013)

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.)

• CommentRowNumber5.
• CommentAuthorzskoda
• CommentTimeApr 8th 2013

No, it is just a comment on the background.