Definition
Let \(T\) be an algebraic torus. The character lattice of \(T\) is
\begin{equation*} M = \Hom(T, \mathbb G_m). \end{equation*}It is isomorphic to \(\mathbb Z^{\rank T}\).
Definition
Let \(T\) be an algebraic torus. The character lattice of \(T\) is
\begin{equation*} M = \Hom(T, \mathbb G_m). \end{equation*}It is isomorphic to \(\mathbb Z^{\rank T}\).