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Add Cartan matrix computation for monoids #1048

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JosephDayngerRuiz
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@JosephDayngerRuiz JosephDayngerRuiz commented Feb 12, 2025

This PR add several functions which allow for the computation of the character table of a monoid and the Cartan matraix of a monoid which satisfy IsActingSemigroups. The current implementation is close to the original implementation of Balthazar Charles.

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To update your branch to the latest main branch:

  1. git checkout main
  2. git pull origin main
  3. git checkout AddingCartan
  4. git rebase main

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Try doing:

gap> SEMIGROUPS.OptionsRec.acting := false;

awdawdawdwdawd
Removed empty space.
Added header.
Change line endings to LF
Added a header.
Added comments making the simple calculation clearer.
Reclarified the computation for the bicharater of the radical.
Method to display the character table was added.
Moved some xml documentation
Removed white space
The purpose of changing the Cartan matrix into a object is to allow a display method of the Cartan matrix to be separate from the character table.
Moved the documentation from the code to a separate xml
Created a category for monoid Cartan matrices and moved the PIMS from the character table to the Cartan matrix
Added a cartan matrix object and a viewstring and displaystring for said object.
Correcting the documentation. Needs another correction too.
I learned how to make a proper test file.
Implemented gaplint to help with code standardization.
Added local variable to the test.
Changed the file to match the style recommended for the semigroup package.
Added test for more functions in the project. I was reminded that the current implementation does not work for groups.
Continuing to lint and plan the addition of the finite field code.
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Thanks @JosephDayngerRuiz, this looks really great, there are a number of pretty minor things to fix, and then I'll be happy to merge.

@james-d-mitchell james-d-mitchell added the waiting-for-creator-input A label for issues or PR that are waiting for input from their creator label Apr 11, 2025
Implemented changes from comments made on PR.
Implemented changes from comments on PR
Clarified the precise use of the LeftGreensMultiplierNC and RightGreensMultiplierNC
Added more appropriate citation.
Gap linted,
fixed capitalization,
specified the computation is for monoids
Made doc more self consistent. Clarified the definition of the generalized conjugacy class used here. Tagged code and symbols more appropriately.
More tags and consistency changes
Changed argument property
Moved string descriptor for PimMonoidCharacter.
quick change to pass tests.
removing group case to see if this passes the last test
putting it back to fail test.
added line to rerun test
Added appropriate citation.
Added cite correctly
To make set render correctly in pdf.
Change implemented.
Capitalization change to match suggested change.
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