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Covariant (invariant theory)

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In invariant theory, a branch of algebra, given a group G, a covariant is a G-equivariant polynomial map between linear representations V, W of G.[1] It is a generalization of a classical convariant,[clarification needed] 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 -equivariant.[2]

See also

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References

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  1. ^ Kraft & Procesi 2016, § 1.4.
  2. ^ Procesi 2007, Ch 15. § 1.1.
  • Procesi, Claudio (2007). Lie groups : an approach through invariants and representations. New York: Springer. ISBN 978-0-387-26040-2. OCLC 191464530.
  • Kraft, Hanspeter; Procesi, Claudio (July 2016). "Classical Invariant Theory, a Primer". Department of Mathematics, IIT Bombay.