Hilbert polynomials of the algebras of $SL_2$-invariants
Leonid Bedratyuk
TL;DR
This paper introduces a Maple-based method for calculating the Hilbert polynomials of algebras of invariants under the action of the group SL_2, facilitating algebraic and geometric analysis.
Contribution
It provides a novel computational procedure specifically designed for Hilbert polynomials of SL_2-invariant algebras, enhancing existing algebraic tools.
Findings
Efficient Maple procedure for Hilbert polynomial computation
Application to various SL_2-invariant algebra cases
Improved understanding of algebraic structure of invariants
Abstract
We offer a Maple-procedure for computing of the Hilbert polynomials of the algebras of -invariants
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Taxonomy
TopicsAlgebraic structures and combinatorial models · Advanced Topics in Algebra · Algebraic Geometry and Number Theory