Interest in Adding additional combinatorial algebras

[shri vishakh devanand]

Hi! This is Shri Vishakh, A sophomore student at a uni in Mumbai, India. I came across the project "Add additional combinatorial (Hopf) algebras and additional bases" and found it interesting to work on. Although I don't have a strong background in different types of algebras, I am very curious and already started reading about Hopf Algebras from https://www.cip.ifi.lmu.de/~grinberg/algebra/HopfComb.pdf by the mentor of the project Darij Grinberg himself!

I would love to understand the current state of implementation, and what is it that can be improved in the current state of implemented symmetric functions as well!

Looking forward to contribute!

[tcscrims]

Dear Shri,

   Thank you for your interest in SageMath and GSoC. You can find a number of the combinatorial Hopf algebras in Sage through our documentation:

https://doc.sagemath.org/html/en/reference/combinat/sage/combinat/chas/all.html

This then will point towards the relevant files. For this project, you should determine some (bases of) CHAs that have not been implemented (there are many in the literature, including some very recent ones). This also includes other bases for polynomial rings (possibly infinitely many variables).

Please let us know if you have any additional questions.

Best,

Travis

[shri vishakh devanand]

Hi!

I would love to know if the conversation can be taken somewhere else, like our zulip chat!

To update on my progress, I have completed my intro to abstract algebra (on the basic level), and will be starting with Hopf Algebra now!

Regards,

Shri

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[tcscrims]

Dear Shri,

   For now, I think this is the best format/place to discuss things as this forum is specific for GSoC, the discussions here can benefit other potential contributors, and I do not regularly check the Zulip.

Best,

Travis

[shri vishakh devanand]

Hi!

I have completed (I think) the basic requirements for knowing about CHAs

I think I have understood the workflow that needs to be done for this project

 1. Go through a bunch of papers to find out what bases and algebras that hasn't been implemented
 2. Add them in the sage/combinat folder as a class with the predefined functions
 3. and test them once if I feel it is properly implemented.

Am I on the right path? If yes, here are a couple of papers that I found to relatable to the current project work

 - https://arxiv.org/pdf/2406.12559

 -  https://arxiv.org/pdf/1710.00735

 - https://arxiv.org/pdf/1904.01358

[shri vishakh devanand]

Hi Travis!

I found the paper for double schur function by Malov(https://arxiv.org/pdf/0807.2127), I read the paper and understood that I should be implementing the function as a class in combinat/sf directory.

As of now, I have set up sage in my laptop and put up a pr as well (#39719)

I am currently working on another issue (#39710).


Now, Since GSoC Submissions is close, I want some guidance on how to write a proposal. Is it possible to get any previous year proposals as a template to work upon?

Best Regards,

Shri Vishakh Devanand