Updated References with Annotation To: New Examples of Frobenius Extensions
نویسنده
چکیده
(1) A Frobenius algebra in a tensor category C is an abstract algebracoalgebra where (co)multiplication and (co)unit are arrows in C. A Frobenius extension A|S may be viewed as a Frobenius algebra in the category M of S-bimodules under ordinary tensor product over S, as described in connection with corings in NEFE, chapter 4. The notion of a special Frobenius algebra in a category is a basic notion to mathematical physicists doing rational conformal field theory [15, 16, 35]: for example, a strongly separable extension A|S (cf. ch. 3, NEFE) is a special Frobenius algebra in the category M.
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