*Hi SageMath Team,*

I am *Dr. Kshipra Wadikar*, and I have a *PhD in Noncommutative Algebra*. I
am interested in contributing to SageMath’s *Lie Algebra and Quantum Group
module* for *GSoC 2025*. I have experience in *Python.*

I have reviewed SageMath’s existing Lie algebra implementation and found
that representation theory can be extended. Below is a *short summary* of
my proposal:

*1. Define a framework for Lie algebra representations* (modules, weight
spaces, tensor products).
2.  *Implement fundamental and irreducible representations* (Verma modules,
highest weight representations).
3.  *Develop algorithms for weight multiplicities and branching rules*.
*4. Introduce quantum groups (Drinfeld-Jimbo definition) and their
representations*.

Would this be a *good project for SageMath*? I’d love to get *your
feedback* before
submitting the full proposal.

Thank you!

*Best,*
Kshipra Wadikar

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