I share some of my (short) notes here for convenience.
| Date | Title | Introduction |
|---|---|---|
| 2025-07 | Quantized Enveloping Algebras: An Introduction Through Uq(sl2) | This reading note is based on chapter 1-4 of the Jantzen's book, giving a rough review of the definition of quantized enveloping algebras and representation theory of Uq(sl2) |
| 2025-04 | Three proofs of PBW Theorem | This short note is a summary of three proofs of PBW Theorem. |
| 2024-07 | Matrix Lie Groups and their Lie Algebra | This reading note is based on chapter 1-3 of GTM222, giving a overview of the corrospondence between the matrix Lie group and its Lie algebra. |
| 2024-04 | Reps of Lie Algs [Lecture Note] | This handwritten note is an overview of Prof. Futorny's online lectures (see here), providing an introduction to Lie algebras and its reps. |
| 2023-06 | The theory of sl2-modules | This note is my handout in the Sun Hao's seminar, providing an overview of classification of sl2-modules (on complex field). |