Simple symbolic algebra with support for:
- symbolic algebra
- non-commutative symbolic algebra
- Clifford algebra
- Clifford algebra matrix representations
Meant to be small and structured enough to be extensible.
Currently, clone from Git and include the src/ directory in PYTHONPATH or with sys.path.append(..).
Required libraries (from pyproject.toml with pip install .):
- python>=3.10
- numpy
- colorful (for color output in Jupyter)
- ipython (only to set up color output)
See examples/Example.ipynb for examples. You get most functionality from just from algebrant import *.
It should look like
Some output may look different since I use my personal IPython pretty-print settings and the Dracula theme.
- code documentation missing; internals may change
- symbols in numpy matrices currently do not use the color output
- quotient is very rudimentary (obtained when you divide by a symbolic expression)
- no complex simplification of expressions
- degenerate Clifford vectors are experimental with underscore
E("_a"), but not set up for operations like conjugate - Clifford inverse uses a simple algorithm which is guaranteed to work only up to dimension 5 (you could use matrix representations to find the inverses of any multivector)
- matrix representations only support even Clifford dimensions (you could use 1 dimension higher)
- experimental particle algebra does not interact with Clifford algebra
- only integer powers of expressions are supported
- Clifford square root
mv_sqrt()only works for special multi-vectors - small display issues