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algebraic invariant

   Also found in: Wikipedia 0.01 sec.
algebraic invariant [¦al·jə¦brā·ik in′ver·ē·ənt]
(mathematics)
A polynomial in coefficients of a quadratic or higher form in a collection of variables whose value is unchanged by a specified class of linear transformations of the variables.


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This discovery led to the formulation of a host of new algebraic invariants (or knot polynomials), computed from knot diagrams, that distinguish among knots more effectively than earlier schemes (SN: 10/26/85, p.
The first major step in classifying four-manifolds was a proof that certain types could be identified on the basis of algebraic invariants called quadratic forms.
 
 
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