These are notes of various topics that I have written (or found useful) over the years. Suggestions are welcome!
Notes
Some useful formulae for homogeneous spaces
In these notes I derive (mainly following Kobayashi-Nomizu) several formulas that I have found very useful for working with reductive homogeneous spaces.
Reading group
From Autumn 2021 until Spring 2023 we held a reading group on the book Lectures on Real Semisimple Lie Algebras and their Representations, by A. L. Onishchik.
In this website you can find recordings and handwritten notes for Chapters 1 to 6.