lattices - Lattices and Quadratic Forms
Use when working with lattices, quadratic forms, or discrete subgroups of Euclidean space
Tags
Updated: 2026-03-19Typical Inputs
Typical Outputs
What this skill does
- define bilinear form
- define inner product
- define quadratic form
- compute Gram matrix
- compute Cartan matrix
- analyze orthogonality
- classify signature
- compute field extension
- perform exact arithmetic
- determine minimal field
Inputs
- basis vectors
- Cartan matrix
- Coxeter matrix
- Gram matrix
- field extension parameters
- group type parameters
Outputs
- form classification
- Cartan matrix
- Gram matrix
- eigenvalue invariants
- signature classification
- field extension result
Requirements
- Symbolic computation environment
- Exact arithmetic support
- LaTeX notation support