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.
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.
$ 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 sage -pip install --upgrade /path/to/downloaded/file. If you want to fix the SSL issue permanently, look here.
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!