lie is a python module for computations with Lie groups, Lie algebras, representations, root systems, and more.
I based it on the computer algebra package LiE, written by M. A. A. van Leeuwen, A. M. Cohen and B. Lisser in the early 90’s. They chose to implement a proprietary scripting language as a wrapper for all the fancy mathematical algorithms. While this language is useful for interactive computations and short scripts, python is more expressive and powerful — definitely what you want when exploring your favorite exceptional group.
A Fun Example
Here’s an example of using lie to do a calculation that’s near and dear to every high energy theorist’s heart. We’ll show how the 10 + 5bar + 1 representation of SU(5) contains a single standard model generation. First we’ll fire up python and import the lie module. Continue reading…
The snarXiv is a random high-energy theory paper generator incorporating all the latest trends, entropic reasoning, and exciting moduli spaces. The arXiv is similar, but occasionally less random.
Actually, the snarXiv only generates tantalizing titles and abstracts at the moment, while the arXiv delivers matching papers as well. Details of the implementation are below. I’m the author, and I don’t remember exactly why I decided to do this. I did already have the framework lying around from a previous project, and I swear I spent more time doing research last weekend than implementing snarXiv.org.
Suggested Uses for the snarXiv
- If you’re a graduate student, gloomily read through the abstracts, thinking to yourself that you don’t understand papers on the real arXiv any better.
- If you’re a post-doc, reload until you find something to work on.
- If you’re a professor, get really excited when a paper claims to solve the hierarchy problem, the little hierarchy problem, the mu problem, and the confinement problem. Then experience profound disappointment.
- If you’re a famous physicist, keep reloading until you see your name on something, then claim credit for it. Continue reading…