How do I install the Reduce Relie Lie Symmetries skill?

Run npx skillmds add majiayu000/reduce-relie-lie-symmetries in your terminal (requires Node.js), paste this page's agent-chat prompt into Claude, Cursor, or any MCP-connected agent, or download the SKILL.md file and copy it into your agent's skills directory.

Is Reduce Relie Lie Symmetries safe to use?

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Which AI agents work with Reduce Relie Lie Symmetries?

This skill is tagged as working with Claude Code, Claude.ai, OpenAI Codex. SKILL.md is an open format, so most agents that read a skills directory can load it too.

Is Reduce Relie Lie Symmetries free to use?

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Who published Reduce Relie Lie Symmetries?

majiayu000 (@majiayu000) published this skill. Their other Agent Skills are listed on their SkillMD profile.

Reduce Relie Lie Symmetries by majiayu000

Name: Reduce Relie Lie Symmetries
Rating: 4.2 (5 reviews)
Author: majiayu000

Reduce Relie Lie Symmetries

Use when working with ReLie in REDUCE (including inside Docker) to compute Lie group symmetries of differential equations, handle conditional/contact/variational/approximate symmetries or equivalence transformations, or interpret ReLie outputs and Lie algebra utilities.

majiayu000 5f9e958 2 files · 3.4 KB Updated Sep 9, 2026 567 repo stars

File contents

ReLie symmetry workflows in REDUCE

Quick start (point symmetries)

Load ReLie: in "resources/relie-src/relie.red"$ (or load_package relie$ if precompiled).
Set the minimal globals: jetorder, xvar, uvar, diffeqs, leadders.
Run the standard pipeline: relie(4)$.
Extract generators: reliegen(1,{})$, then inspect symmetries, generators, splitsymmetries.

Docker readiness (when running in containers)

Confirm the CLI and daemon: docker --version then docker info.
If the daemon is down, start Docker Desktop (macOS: open -a Docker) and wait for docker info to succeed.
If you use Colima instead of Docker Desktop, start it with colima start and re-check docker info.
If you see permission denied ... docker.sock, rerun with elevated permissions or fix socket access (Codex sandboxing may require escalation).

Keep these invariants in mind

Treat ReLie state as global; always (re)declare variables before relieinit().
diffeqs and leadders must have the same length and be solvable for the chosen leading derivatives.
Mixed-derivative names must follow the xvar order.

Always explain results in natural language

After any computation, translate the output into plain language:

State what was computed (e.g., point/conditional/contact/variational/approximate/equivalence symmetries) and the PDE or system.
Report how many solution-sets are in symmetries and how many generators you extracted.
Interpret each generator as a transformation (translations, scalings, Galilean boosts, shifts in u, etc.).
If arbitrary functions appear in symmetries, explain that this indicates an infinite-dimensional symmetry (often due to linearity or gauge freedom).
Note any unsolved conditions or non-vanishing constraints and what they mean for validity.
Say what the symmetries are useful for: similarity reduction to ODEs, invariant solutions, conservation laws (Noether), and classification of PDE families.

Use resources/relie_result_interpretation.md for a compact template and common patterns.

Use the reference guide for details

For conditional/contact/variational/approximate/equivalence workflows, Lie algebra utilities, and troubleshooting, open resources/ReLie_whitepaper_synopsis.md.
For the Docker run command and minimal bootstrap, use the reduce-relie-basics skill.

Debugging pattern

If reliesolve() fails, run staged calls (relieinit, relieinv, reliedet, reliesolve) and inspect invcond and deteqs.
Enable CRACK verbosity with onprintcrack() when you need step-by-step solving.

---name: reduce-relie-lie-symmetriesdescription: Use when working with ReLie in REDUCE (including inside Docker) to compute Lie group symmetries of differential equations, handle conditional/contact/variational/approximate symmetries or equivalence transformations, or interpret ReLie outputs and Lie algebra utilities.--- # ReLie symmetry workflows in REDUCE ## Quick start (point symmetries) - Load ReLie: `in "resources/relie-src/relie.red"$` (or `load_package relie$` if precompiled). - Set the minimal globals: `jetorder`, `xvar`, `uvar`, `diffeqs`, `leadders`. - Run the standard pipeline: `relie(4)$`. - Extract generators: `reliegen(1,{})$`, then inspect `symmetries`, `generators`, `splitsymmetries`. ## Docker readiness (when running in containers) - Confirm the CLI and daemon: `docker --version` then `docker info`. - If the daemon is down, start Docker Desktop (macOS: `open -a Docker`) and wait for `docker info` to succeed. - If you use Colima instead of Docker Desktop, start it with `colima start` and re-check `docker info`. - If you see `permission denied ... docker.sock`, rerun with elevated permissions or fix socket access (Codex sandboxing may require escalation). ## Keep these invariants in mind - Treat ReLie state as global; always (re)declare variables before `relieinit()`. - `diffeqs` and `leadders` must have the same length and be solvable for the chosen leading derivatives. - Mixed-derivative names must follow the `xvar` order. ## Always explain results in natural language After any computation, translate the output into plain language: - State what was computed (e.g., point/conditional/contact/variational/approximate/equivalence symmetries) and the PDE or system. - Report how many solution-sets are in `symmetries` and how many generators you extracted. - Interpret each generator as a transformation (translations, scalings, Galilean boosts, shifts in `u`, etc.). - If arbitrary functions appear in `symmetries`, explain that this indicates an infinite-dimensional symmetry (often due to linearity or gauge freedom). - Note any unsolved conditions or non-vanishing constraints and what they mean for validity. - Say what the symmetries are useful for: similarity reduction to ODEs, invariant solutions, conservation laws (Noether), and classification of PDE families. Use `resources/relie_result_interpretation.md` for a compact template and common patterns. ## Use the reference guide for details - For conditional/contact/variational/approximate/equivalence workflows, Lie algebra utilities, and troubleshooting, open `resources/ReLie_whitepaper_synopsis.md`. - For the Docker run command and minimal bootstrap, use the `reduce-relie-basics` skill. ## Debugging pattern - If `reliesolve()` fails, run staged calls (`relieinit`, `relieinv`, `reliedet`, `reliesolve`) and inspect `invcond` and `deteqs`. - Enable CRACK verbosity with `onprintcrack()` when you need step-by-step solving.

Frequently asked questions