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Invariant Polynomials

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Abstract Our ultimate goal is to find the relation between equivarian dynamical systems and locally identical (“locally diffeomorphic”) invariant dynamical systems. This is the cover and image problem. The image dynamical system is always expressed in terms of invariant polynomials. The cover dynamical system is expressed in terms of equivariant polynomials. It is the objective of this chapter to describe invariant polynomials, equivariant polynomials, and their properties.
Title: Invariant Polynomials
Description:
Abstract Our ultimate goal is to find the relation between equivarian dynamical systems and locally identical (“locally diffeomorphic”) invariant dynamical systems.
This is the cover and image problem.
The image dynamical system is always expressed in terms of invariant polynomials.
The cover dynamical system is expressed in terms of equivariant polynomials.
It is the objective of this chapter to describe invariant polynomials, equivariant polynomials, and their properties.

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