Algebraic representation

In mathematics, an algebraic representation of a group G on a k-algebra A is a linear representation

Equipped with such a representation, the algebra A is then called a G-algebra.

For example, if V is a linear representation of a group G, then the representation put on the tensor algebra

is an algebraic representation of G. If A is a commutative G-algebra, then

This algebra-related article is a stub.