Algebraic Invariant

A quantity such as a Discriminant which remains unchanged under a given class ofalgebraic transformations. Such invariants were originally called Hyperdeterminants byCayley.

References

Invariants

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.

• AAS Theorem
• Abacus
• abc Conjecture
• Abelian
• Abelian Category
• Abelian Differential
• Abelian Function
• Abelian Group
• Abelian Integral
• Abelian Variety
• Abel's Curve Theorem
• Abel's Functional Equation
• Abel's Identity
• Abel's Impossibility Theorem
• Abel's Inequality
• Abel's Irreducibility Theorem
• Abel's Lemma
• Abel's Test
• Abel's Theorem
• Abel's Uniform Convergence Test
• Abel Transform
• Abhyankar's Conjecture
• Ablowitz-Ramani-Segur Conjecture
• Abscissa
• Absolute Convergence