What is ReLie in the context of this skill?

ReLie is a specialized package for the REDUCE Computer Algebra System (CAS) used to calculate Lie symmetry groups of differential equations.

How does it help with interpreting mathematical results?

The skill translates ReLie's algebraic output into natural language, identifying specific transformations such as translations, scalings, and Galilean boosts.

Does this skill require a local installation of REDUCE?

The skill is designed to work with REDUCE, including versions running inside Docker containers, and provides workflows to verify your Docker or Colima setup.

What kind of symmetries can this tool identify?

It can handle point, conditional, contact, variational, and approximate symmetries, as well as equivalence transformations for PDE families.

REDUCE Lie Symmetry Analysis

Name: REDUCE Lie Symmetry Analysis
Author: hinsley

byhinsley

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Data Science & ML

Automates Lie group symmetry analysis for differential equations using the ReLie package in the REDUCE Computer Algebra System.

About

This skill empowers Claude to perform complex mathematical symmetry analysis by interfacing with the ReLie package within REDUCE CAS. It streamlines the workflow for computing point, contact, variational, and approximate symmetries of differential equations. Beyond raw computation, the skill is designed to interpret abstract mathematical outputs into natural language, explaining generators as physical transformations like scalings or Galilean boosts. It also includes robust Docker integration, ensuring the underlying algebraic environment is correctly configured and accessible for high-level mathematical research.

Key Features

Natural language interpretation of symmetry generators and Lie algebra utilities
Automated computation of Lie group symmetries and equivalence transformations
Docker and Colima environment readiness checks for REDUCE CAS
Staged debugging patterns for complex differential equation solvers
1 GitHub stars
Support for conditional, contact, variational, and approximate symmetries

Use Cases

Classifying symmetry groups for complex nonlinear PDE families
Similarity reduction of partial differential equations to ordinary differential equations
Deriving conservation laws for physical systems using Noether's theorem

About

Key Features

Natural language interpretation of symmetry generators and Lie algebra utilities
Automated computation of Lie group symmetries and equivalence transformations
Docker and Colima environment readiness checks for REDUCE CAS
Staged debugging patterns for complex differential equation solvers
1 GitHub stars
Support for conditional, contact, variational, and approximate symmetries

Use Cases

Classifying symmetry groups for complex nonlinear PDE families
Similarity reduction of partial differential equations to ordinary differential equations
Deriving conservation laws for physical systems using Noether's theorem