An interactive notebook that illustrates representations of the Lie algebra $\mathfrak{sl}(2, \mathbb{C})$ by implementing the action of its generators on homogeneous polynomials. Designed for Lecture 4 (Representation Theory) of the Lie Groups with Applications course at Quantum Formalism.
Feb 22, 2025
An interactive 3D notebook for visualizing the Lie bracket structure of 𝖘𝖚(2) using a geometric cross-product analogy. Developed as a demonstration for Lecture 3 (Matrix Lie Algebras) in the Lie Groups with Applications course at Quantum Formalism.
Jan 22, 2025