Cohomologie Locale Des Faisceaux Coherents (Sga 2): Seminaire De Geometrie Algebrique Du Bois Marie 1962 (Documents Mathematiques)
《Cohomologie Locale Des Faisceaux Coherents (Sga 2): Seminaire De Geometrie Algebrique Du Bois Marie 1962 (Documents Mathematiques)》 · 第 24–25 页 · Section 3.1「The Character Table」的跨页定义
Assume that $\rho:G\to GL(V)$ is a finite-dimensional representation of $G$ over the field of complex numbers $\mathbb C$ or one of its subfields. We define the character $\chi$ of $\rho$ to be the function $\chi:G\to\mathbb C$ given by $\chi(g)=\operatorname{tr}(\rho(g))$, the trace of the linear map $\rho(g)$.