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Algebraic Invariant

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

See also Discriminant (Polynomial), Invariant, Quadratic Invariant



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.

© 1996-9 Eric W. Weisstein