Algebra Submodule¶

The pytanga.algebra submodule contains the core types that form the foundation of the entire pytanga package. The Algebra class configures a geometric algebra — it defines the vector-space dimension, the signature, the value type, and an optional integer modulus. Calling an Algebra instance creates an MV (multivector) from dict, string, or tuple input. Multivectors support the full set of GA operations: geometric, outer, and inner products, addition, inversion, reverse, conjugate, and versor products. Three complement/dual operations are available: an unsigned (bitwise) complement, a signed Clifford dual, and a left dual (pseudoscalar on the left). Integer algebras support modulus arithmetic with half-space modular reduction.

from pytanga.algebra import Algebra, MV, EProduct

Reference¶

Topic	Guide
`Algebra` class — construction, properties, GA operations, blade ops, display	`Algebra`
`MV` class — initialization, coefficient access, operators, utility methods	`MV`
Duals — complement, signed `dual`, and left `ldual` operations	Duals
Modulus arithmetic — integer algebras, `hmod`, multi-modulus pattern	Modulus
Galgebra bridge — bidirectional conversion between galgebra (sympy) and tanga (numeric) MVs	Galgebra Bridge

Quick start¶

from pytanga.algebra import Algebra

# Create a 3D Euclidean algebra
alg = Algebra(3, 0, "float64")

# Create multivectors from string expressions
a = alg("e1 + 2 e2")
b = alg("e2 + e3")

# Geometric product
print(a * b)

# Outer product
print(a ^ b)