In mathematics, an algebraic representation of a group G on a k-algebra A is a linear representation π : G → G L ( A ) {\displaystyle \pi :G\to GL(A)} such that, for each g in G, π ( g ) {\displaystyle \pi (g)} is an algebra automorphism. Equipped with such a representation, the algebra A is then called a G-algebra.
In mathematics, an algebraic representation of a group G on a k-algebra A is a linear representation π : G → G L ( A ) {\displaystyle \pi :G\to GL(A)} such that, for each g in G, π ( g ) {\displaystyle \pi (g)} is an algebra automorphism. Equipped with such a representation, the algebra A is then called a G-algebra.
Source: Wikipedia "Algebraic representation" · CC BY-SA 4.0
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