date based archive of a single category

I know that normally an archive is either broken up by date (January, February, March) OR by category (politics, cars, movies). Is there any way to have both?

For example, the desired behavior is the main menu of the site displays “Politics | Cars | Movies”, then within each of those, the user can click on “January | February | March” for just posts that came from that category AND that month.

Thanks