Math 2.0

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Covariant (invariant theory)

Summary

In invariant theory, a branch of algebra, given a group G, a covariant is a G-equivariant polynomial map V→WV \to W between linear representations V, W of G. It is a generalization of a classical convariant, 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 SL2(ℂ)SL_2(\mathbb{C})-equivariant.

Further reading

  1. Wikipedia, page 61740916, revision 1336929947, Covariant (invariant theory). adopted
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