Invariant

A quantity which remains unchanged under certain classes of transformations. Invariants are extremely useful for classifying mathematical objects because they usually reflect intrinsic properties of the object of study.

See also

Adiabatic Invariant, Alexander Invariant, Algebraic Invariant, Arf Invariant, Elliptic Invariants, Integral of Motion, Knot Polynomial

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References

Hunt, B. "Invariants." Appendix B.1 in The Geometry of Some Special Arithmetic Quotients. New York: Springer-Verlag, pp. 282-290, 1996.Olver, P. J. Classical Invariant Theory. Cambridge, England: Cambridge University Press, 1999.

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Invariant

Cite this as:

Weisstein, Eric W. "Invariant." From MathWorld--A Wolfram Resource. https://mathworld.wolfram.com/Invariant.html

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