Definition

Character

Lie Groups and Lie Algebras · lie-groups.tex

The character of a finite-dimensional representation $(V, \rho)$ (Definition~Group Representation) is the function $\chi_V : G \to k$ defined by $\chi_V(g) = \mathrm{tr}(\rho(g))$. Characters are class functions: $\chi_V(hgh^{-1}) = \chi_V(g)$, which follows from the group structure (Definition~Group (Classical)).

Depends on

Representation
Group (Classical)

Used in

Proposition
Proposition
Inner Product

Dependency Graph

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