Frobenius algebra

A (commutative) Frobenius algebra is a finite-dimensional commutative, associative, unital algebra $ A$ (over a field or ring $ k$) with a trace map $ \mathrm{Tr}: A \rightarrow k$ for which the bilinear form $ \mathrm{Tr}(xy)$ is nondegenerate.



Jeffrey Herschel Giansiracusa 2005-05-17