https://github.com/mareoraft/k_combinat_for_sage

k-Schur combinatorics for SageMath
https://github.com/mareoraft/k_combinat_for_sage

Last synced: 2 months ago
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k-Schur combinatorics for SageMath

• Host: GitHub
• URL: https://github.com/mareoraft/k_combinat_for_sage
• Owner: MareoRaft
• Created: 2018-02-02T22:09:55.000Z (almost 7 years ago)
• Default Branch: master
• Last Pushed: 2024-10-29T17:20:17.000Z (3 months ago)
• Last Synced: 2024-10-29T18:45:28.329Z (3 months ago)
• Language: Python
• Homepage:
• Size: 41.5 MB
• Stars: 4
• Watchers: 3
• Forks: 1
• Open Issues: 7
• Metadata Files:
  • Readme: README.rst

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README

        
===========================

k_combinat_for_sage

===========================

k-Schur and other "k-math-objects" for combinatorics.  This code is meant to be used with `SageMath `_, and parts of it have already `been migrated `_ into SageMath itself.  The functions in the code come from research by `Jennifer Morse `_ and her colleagues.  You will see in the documentation references to various research papers, which are the relevant topics.

.. image:: docs/source/_static/k-rim.JPG

  :alt: image of k-rim of a 2,1,1 tableau

Quicklinks

--------------

  * `documentation `_

  * `proof of work `_

Contents

---------------

This code computes combinatorial things such as

  * k-boundaries

  * k-rim

  * k-shape partitions

  * skew-linked diagrams

  * k-irreducible partitions

  * irreducible k-shapes

  * root ideals

  * raising root operators

  * catalan functions

  * dual symmetric functions

  * double symmetric functions

etc.  For a full list of functions, read the documentation.

Install or upgrade

--------------------

::

	$ sage -pip install --upgrade k_combinat_for_sage

If you get an SSL error, you can download the latest version manually at `PyPI `_ and then install/upgrade with :code:`sage -pip install --upgrade /path/to/downloaded/file`.  If you want to fix the SSL issue permanently, look `here `_.

Usage

---------------

Put your code in a file such as `myscript.py`.  Import all the functions with::

	from k_combinat_for_sage.all import *

and then use functions at will, such as::

	p = Partition([4, 3, 3, 1])

	if is_symmetric(p):

		print("it's symmetric, boogie woogie woogie!")

Finally, you can run your file with sage::

	$ sage myscript.py

	it's symmetric, boogie woogie woogie!