symmetry-group-identifier

SKILL.md

This skill helps you map identified symmetries to mathematical groups. Once you know what transformations should leave your predictions unchanged, this skill formalizes them into the language of group theory.

Why groups matter: Neural network architectures are built around specific symmetry groups. Knowing your group tells you exactly which architecture patterns to use.

Gather the identified symmetries from the discovery phase. List each identified transformation and whether it requires invariance or equivariance. Note confidence levels. If symmetries haven't been discovered yet, work with user to identify them through domain analysis first.

Use when you've identified candidate symmetries and need to map them to mathematical groups for architecture design. Invoke when user mentions cyclic groups, dihedral groups, Lie groups, SO(3), SE(3), permutation groups, or needs to formalize symmetries into group theory language. Provides taxonomy and mathematical foundations from Visual Group Theory principles. Source: lyndonkl/claude.

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