Covariant (invariant theory)

In invariant theory, a branch of algebra, given a group G, a covariant is a G-equivariant polynomial map $V\to W$ between linear representations V, W of G. It is a generalization of a classical convariant,Template:Clarify which is a homogeneous polynomial map from the space of binary m-forms to the space of binary p-forms (over the complex numbers) that is $S{L}_2(ℂ)$-equivariant.

See also

• Module of covariants
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• TransvectantTemplate:Sndmethod/process of constructing covariants

References

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