Crate ogdoad 

Clifford and Weyl algebras, quadratic forms, arithmetic, and combinatorial games.

The pure-Rust core is generic over scalar::Scalar. Optional PyO3 bindings are available behind the python feature. The public API has five pillars:

• scalar provides exact, finite, valued, global, surreal, and ordinal coefficient models.
• clifford provides metrics, multivectors, products, versors, spinors, and geometric-algebra constructions.
• forms provides quadratic-form classification, Witt and Brauer theory, Springer decompositions, and local–global and integral arithmetic.
• games provides finite impartial, short partizan, misère, loopy, thermographic, and game-exterior constructions.
• weyl provides finite-support PBW Weyl algebras and their polynomial differential action.

Arbitrary partizan games form an abelian group, not a commutative scalar ring; game-valued constructions therefore remain separate from the generic Clifford engine. See the repository README.md for supported backends and representation limits.

Modules

clifford

The Clifford / geometric-algebra pillar.

forms

Quadratic forms and their invariants.

games

Combinatorial games and checked bridges to arithmetic and integral forms.

scalar

Commutative coefficient rings and their optional algebraic capabilities.

weyl

Finite-support Weyl algebras in canonical PBW form.