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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.

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