Skill

gap-language

From asi

Generates group-theoretic structures, character tables, algebraic objects like groups and rings using GAP system for computational discrete algebra in Plurigrid ecosystem.

Python

Bash

ai-ml

cli-tools

npx claudepluginhub plurigrid/asi --plugin asi

Tool Access

This skill uses the workspace's default tool permissions.

Preview

**Trit**: +1 (PLUS) - GENERATOR

Supporting Assets

INTERLEAVE_LOG.mdinterleave_walk.py

SKILL.md

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Stats

Parent Repo Stars16

Parent Repo Forks5

Last CommitFeb 16, 2026

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GAP Language Skill

Trit: +1 (PLUS) - GENERATOR

Generates algebraic structures (Groups, Rings, Fields) and computations (Character Tables, Orbit Stabilizers) for the Plurigrid ASI.

Integration Schema

This skill connects to the Plurigrid Lattice via:

Group Theory -> Gay Colors: Maps finite groups to color symmetries in gay-mcp.

Algebra -> Category Theory: Provides concrete implementations for algebraic structures in acsets.

Dynamic Sufficiency Triad

┌─────────────────────┐ │ gap-language │ │ (Generator) │ │ trit: +1 │ └──────────┬──────────┘ │ ▼ ┌─────────────────────┐ │ gay-mcp │ │ (Coordinator) │ │ trit: 0 │ └──────────┬──────────┘ │ ▼ ┌─────────────────────┐ │ narya-proofs │ │ (Validator) │ │ trit: -1 │ └─────────────────────┘

Computational Capabilities

Group Theory: Permutation groups, Matrix groups, Finitely presented groups.

Representation Theory: Character tables, Representations.

Combinatorics: Combinatorial structures, Graph symmetries.

Scientific Skill Interleaving

This skill interleaves with:

acsets: For categorical perspective on algebraic structures.

gay-mcp: For color-theoretic interpretation of group actions.

python: Via gap-system bindings or IPC.

Usage

# Run a GAP computation gap -c 'Print(Order(SymmetricGroup(5)), "\n");'

Interleaving Log

See INTERLEAVE_LOG.md for the results of the subagent random walks integrating this skill.