Dear Yashashwi,

You can find a list of issues on our issue tracker, many of which can be 
good for a first PR. One recent one that I found was
https://github.com/sagemath/sage/issues/39710

Best,
Travis

On Thursday, March 13, 2025 at 10:58:32 PM UTC+9 yashashwi...@gmail.com 
wrote:

> Hi Travis,
>
> I've setup sage locally, I was wondering if you could help me out in 
> trying some relevant documentation to my project interests. Also what could 
> be a useful first issue for me to solve or raise it myself.
>
> On Sunday, 9 March 2025 at 15:06:56 UTC+5:30 tcscrims wrote:
>
>> Dear Yashashwi,
>>    Thank you for your interest. Please be aware that these are ideas for 
>> projects and you, the potential contributor, are expected to turn the idea 
>> into a full proposal. That being said, here are some additional ideas for 
>> you to consider from your questions.
>>
>> 1. As said, you need to provide the bases and related properties, such as 
>> multiplication and conversions to/from other bases. There can also be other 
>> algebras where you will provide the first such basis/implementation.
>> 2. Use in research computations.
>> 3. Demazure atoms and Grothendieck polynomials to name two, but there are 
>> numerous others.
>> 4. There’s a survey paper “Asymmetric function theory” by Pechenik and 
>> Searles on various such (quasi/non)symmetric bases. There’s numerous 
>> research papers in combinatorics from at least the past 30 years exploring 
>> these topics. You can find others by a fairly easy Google search using the 
>> relevant keywords.
>>
>> Best,
>> Travis
>>
>> On Sunday, March 9, 2025 at 6:29:48 PM UTC+9 yashashwi...@gmail.com 
>> wrote:
>>
>>> Hi, I was interested in this project for gsoc as I have some interest in 
>>> abstract algebra and combinatorics. I also do competitive maths. I wanted 
>>> to have resolution of few doubts I had.
>>>
>>> ---
>>> 1. What exactly do we have to do? the project idea states to add more 
>>> bases but can you please be more specific.
>>> 2. What use will they pose?
>>> 3. "There are also a number of related non-symmetric but still 
>>> important polynomials" can you provide some examples?
>>> 4. Any resources which could benefit me in exploring this project.
>>> ---
>>>
>>> Regards,
>>> Yashashwi Singhania
>>> IIT (BHU) Varanasi
>>>
>>

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