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Symbolic
computation of degree-three covariants for a binary form
Thomas R. Hagedorn and Glen M. Wilson
Vol. 2 (2009), No. 5, 511–532
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Abstract |
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We use elementary linear algebra to explicitly calculate a basis for, and the dimension of, the space of degree-three covariants for a binary form of arbitrary degree. We also give an explicit basis for the subspace of covariants complementary to the space of degree-three reducible covariants. |
Keywords
theory of covariants, invariant theory, symbolic method,
binary forms
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Mathematical Subject Classification 2000
Primary: 13A50, 15A72, 16W22
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Milestones
Received: 16 October 2008
Revised: 8 December 2009
Accepted: 21 December 2009
Published: 13 January 2010
Communicated by Scott Chapman
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Authors |
| Thomas R. Hagedorn | |
| Department of Mathematics and
Statistics The College of New Jersey P.O. Box 7718 Ewing, NJ 08628-0718 United States |
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| Glen M. Wilson | |
| Department of Mathematics and
Statistics The College of New Jersey P.O. Box 7718 Ewing, NJ 08628-0718 United States |
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