Covariant (invariant theory) explained

V \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 SL _{2(C)} -equivariant.

See also

• Module of covariants
  • Transvectantmethod/process of constructing covariants

References

• Book: Procesi, Claudio . Lie groups : an approach through invariants and representations . Springer . New York . 2007 . 978-0-387-26040-2 . 191464530.
• Web site: Hanspeter . Kraft . Claudio . Procesi . Classical Invariant Theory, a Primer . July 2016 . Department of Mathematics, IIT Bombay.