Frobenius algebras and monoidal categories Ross Street Annual Meeting Aust. Math. Soc. September 2004 The Plan Step 1Recall the ordinary notion of Frobenius algebra over a field k. Step 2 Lift the concept from linear algebra to a general monoidal category and justify this with examples and theorems. Step 3 Lift the concept up a dimension so that monoidal categories t hemselves can be examples.
Fuchs's Theorem guarantees that at least one Power series solution will be obtained when applying the Frobenius method if the expansion point is an ordinary, or regular, Singular Point. For a regular Singular Point, a Laurent Series expansion can also be used. Expand in a Laurent Series, letting.