Some extra stuff that isn’t a full blog post or file.
Table of Contents
A really good LaTeX resource
The Not So Short Introduction to LaTeX. This will save tons of Googling time if you’re starting out and is a great reference to go over. It also introduces good practices for using LaTeX.
Springer GTM Test Results
Taken in 2023 and 2024. 2024 is really calling 2023 me out for not reading representation theory last summer.
If I were a Springer-Verlag Graduate Text in Mathematics, I would be Saunders Mac Lane's Categories for the Working Mathematician.
I provide an array of general ideas useful in a wide variety of fields. Starting from foundations, I illuminate the concepts of category, functor, natural transformation, and duality. I then turn to adjoint functors, which provide a description of universal constructions, an analysis of the representation of functors by sets of morphisms, and a means of manipulating direct and inverse limits.
Which Springer GTM would you be? The Springer GTM Test
My primary goal is to introduce the beginner to the finite-dimensional representations of Lie groups and Lie algebras. Intended to serve non-specialists, my concentration is on examples. The general theory is developed sparingly, and then mainly as a useful and unifying language to describe phenomena already encountered in concrete cases. I begin with a brief tour through representation theory of finite groups, with emphasis determined by what is useful for Lie groups; in particular, the symmetric groups are treated in some detail. My focus then turns to Lie groups and Lie algebras and finally to my heart: working out the finite dimensional representations of the classical groups and exploring the related geometry. The goal of my last portion is to make a bridge between the example-oriented approach of the earlier parts and the general theory.
Which Springer GTM would you be? The Springer GTM Test
ELI5 Windows-Arch Dual Boot Advice
Putting this somewhere so when I inevitably reinstall Arch somewhere I won’t forget. Most likely Windows installations will come with an EFI partition, so that should be used for Arch installation instead of creating a new EFI partition. That partition will likely be too small to hold the Linux kernel, so mount the EFI partition on /efi, and the kernel will reside in /boot. I finally got it right on the second try.