passagemath-combinat 10.5.22

passagemath: Algebraic combinatorics, combinatorial representation theory

About SageMath

“Creating a Viable Open Source Alternative to

Magma, Maple, Mathematica, and MATLAB”

Copyright (C) 2005-2024 The Sage Development Team

https://www.sagemath.org

SageMath fully supports all major Linux distributions, recent versions of macOS, and Windows (Windows Subsystem for Linux).

See https://doc.sagemath.org/html/en/installation/index.html for general installation instructions.

About this pip-installable source distribution

This pip-installable source distribution passagemath-combinat is a distribution of a part of the Sage library. It provides a small subset of the modules of the Sage library (“sagelib”, sagemath-standard).

What is included

• Enumerative Combinatorics: Partitions, Tableaux

• Combinatorics on Words, Free Monoids, Automatic Semigroups

• Symmetric Functions, other Algebras with combinatorial bases

• see https://github.com/passagemath/passagemath/blob/main/pkgs/sagemath-combinat/MANIFEST.in

Examples

A quick way to try it out interactively:

$ pipx run --pip-args="--prefer-binary" --spec "passagemath-combinat[test]" ipython

In [1]: from sage.all__sagemath_combinat import *

In [2]: RowStandardTableaux([3,2,1]).cardinality()
Out[2]: 60

Available as extras, from other distribution packages

• passagemath-graphs: Graphs, posets, finite state machines, combinatorial designs, incidence structures, quivers

• passagemath-modules: Modules and algebras, root systems, coding theory

• passagemath-polyhedra: Polyhedra, lattice points, hyperplane arrangements

Development

$ git clone --origin passagemath https://github.com/passagemath/passagemath.git
$ cd passagemath
passagemath $ ./bootstrap
passagemath $ python3 -m venv combinat-venv
passagemath $ source combinat-venv/bin/activate
(combinat-venv) passagemath $ pip install -v -e pkgs/sagemath-combinat