The invariants of the binary decimic
Andries E. Brouwer, Mihaela Popoviciu
TL;DR
This paper studies the algebra of invariants for binary forms of degree 10, constructing a parameter system and identifying 106 fundamental invariants, advancing understanding of their algebraic structure.
Contribution
It introduces a specific system of parameters and explicitly finds all 106 basic invariants for binary decimic forms, a novel detailed classification.
Findings
Constructed a system of parameters with degrees 2, 4, 6, 6, 8, 9, 10, 14.
Identified all 106 basic invariants of the binary decimic.
Enhanced the algebraic understanding of invariants for degree 10 binary forms.
Abstract
We consider the algebra of invariants of binary forms of degree 10 with complex coefficients, construct a system of parameters with degrees 2, 4, 6, 6, 8, 9, 10, 14 and find the 106 basic invariants.
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Taxonomy
TopicsAdvanced Algebra and Geometry · Algebraic Geometry and Number Theory · Finite Group Theory Research