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
On Friday, March 7, 2025 at 12:02:49 AM UTC+9 shrivisha...@gmail.com wrote:

> 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!
>
>
>
>
>

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