mathematics Mathematics is an area of knowledge that includes the topics of numbers, formulas and related structures, shapes and the spaces in which they are contained, and quantities and their changes. These topics are represented in modern 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

G

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

References

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Springer Online Reference Works: Rational Representation
Representation theory of algebraic groups {{algebra-stub