Covariant (invariant theory)
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, 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
- module of covariants
- Invariant of a binary form#Terminology
- Transvectant - method/process of constructing covariants
References
- Kraft & Procesi, § 1.4.
- Procesi, Ch 15. § 1.1.
- Claudio Procesi (2007) Lie Groups: an approach through invariants and representation, Springer, ISBN 9780387260402.
- Hanspeter Kraft and Claudio Procesi, Classical Invariant Theory, a Primer
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