The MAPLE package for $SL_2$-invariants and kernel of Weitzenb\"ock derivations
Leonid Bedratyuk
TL;DR
The paper introduces the MAPLE package SL_2_Inv_Ker designed to compute minimal generating sets of invariants and kernels related to binary forms and Weitzenb"ock derivations, facilitating algebraic computations.
Contribution
It provides a new computational tool for algebraic invariant theory, specifically for $SL_2$-invariants and Weitzenb"ock derivations, which was not previously available.
Findings
Efficient calculation of minimal generating sets for invariants.
Calculation of kernels of Weitzenb"ock derivations.
Implementation in Maple enhances computational algebra capabilities.
Abstract
We offer a Maple package SL\_2\_Inv\_Ker for calculating of minimal generating sets for the algebras of joint invariants/semi-invariants of binary forms and for calculations of the kernels of Weitzenb\"ock derivations.
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Taxonomy
TopicsHomotopy and Cohomology in Algebraic Topology · Logic, programming, and type systems · Advanced Topics in Algebra