Let $A$ be a algebra over a algebraically closed field $k$. Is there certain definition of a "character" $f: A \rightarrow k$? That is, what is the common and useful condition for a linear map $f: A \rightarrow k$ to be a "character" such that the representation theory of $A$ is well-developed via the analysis $f$? Thanks very much!
2026-05-02 10:19:44.1777717184
A general definition for a character of a (not necessarily associative) algebra
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