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 > -- You received this message because you are subscribed to the Google Groups "sage-gsoc" group. To unsubscribe from this group and stop receiving emails from it, send an email to sage-gsoc+unsubscr...@googlegroups.com. To view this discussion visit https://groups.google.com/d/msgid/sage-gsoc/6049b942-582c-4139-b75f-0a63c96705bbn%40googlegroups.com.
