Algebraic representation explained

Algebraic representation should not be confused with algebra representation.

\pi: G \to GL(A) such that, for each g in G, \pi(g) is an algebra automorphism. Equipped with such a representation, the algebra A is then called a G-algebra.T(A) is an algebraic representation of G.

If A is a commutative G-algebra, then

\operatorname{Spec}(A) is an affine G-scheme.

See also

• Algebraic character

References

• Claudio Procesi (2007) Lie Groups: an approach through invariants and representation, Springer, .