lattices
CommunityMaster lattices and bilinear forms with clarity.
Education & Research#sagemath#lattices#bilinear-forms#gram-matrix#cartan-matrix#exact-arithmetic#mathematical-conventions
Authordzackgarza
Version1.0.0
Installs0
System Documentation
What problem does it solve?
Clarifies and standardizes mathematical conventions for lattices, bilinear forms, Gram and Cartan matrices, and related invariants to aid researchers in reasoning, communicating, and implementing computations.
Core Features & Use Cases
- Establishes precise terminology for bilinear forms vs inner products, Gram vs Cartan matrices, and related constructs.
- Guides exact arithmetic practices (working over Z, Q, and rings) and safe implementation in software like SageMath.
- Use Case: A researcher validates a lattice basis by checking B(v,v) definiteness and transformation relations between Gram and Cartan matrices.
Quick Start
Provide a lattice basis and request a formal verification of the associated Gram and Cartan conventions.
Dependency Matrix
Required Modules
None requiredComponents
Standard package💻 Claude Code Installation
Recommended: Let Claude install automatically. Simply copy and paste the text below to Claude Code.
Please help me install this Skill: Name: lattices Download link: https://github.com/dzackgarza/ai/archive/main.zip#lattices Please download this .zip file, extract it, and install it in the .claude/skills/ directory.
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