A quantity such as a Discriminant which remains unchanged under a given class of algebraic transformations. Such invariants were originally called Hyperdeterminants by Cayley.

**References**

Grace, J. H. and Young, A. *The Algebra of Invariants.* New York: Chelsea, 1965.

Gurevich, G. B. *Foundations of the Theory of Algebraic Invariants.* Groningen, Netherlands: P. Noordhoff, 1964.

Hermann, R. and Ackerman, M. *Hilbert's Invariant Theory Papers.* Brookline, MA: Math Sci Press, 1978.

Hilbert, D. *Theory of Algebraic Invariants.* Cambridge, England: Cambridge University Press, 1993.

Mumford, D.; Fogarty, J.; and Kirwan, F. *Geometric Invariant Theory, 3rd enl. ed.* New York: Springer-Verlag, 1994.

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1999-05-25