Rational representation

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

References

* [http://www.jstor.org/view/00029327/di994362/99p00143/ Extensions of Representations of Algebraic Linear Groups]
* [http://eom.springer.de/R/r077630.htm Springer Online Reference Works: Rational Representation]


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