Rational representation

In mathematics, in the representation theory of algebraic groups, a linear representation of an algebraic group is said to be rational if, viewed as a map from the group to the general linear group, it is a rational map of algebraic varieties.

Finite direct sums and products of rational representations are rational.

A rational module is a module that can be expressed as a sum (not necessarily direct) of rational representations.

References

• Extensions of Representations of Algebraic Linear Groups
• Springer Online Reference Works: Rational Representation