Cirno's Perfect Math Library: Just about everything you need for 2D/3D games. Hopefully.
Graph algorithms in lua
Implementation of machine learning and artificial intelligence algorithms in lua with demo using game bot
Lua algorithms library that covers commonly used data structures and algorithms
A+ promises in Lua
A tool for linting and static analysis of Lua code.
source for http://www.brpreiss.com/ books (Data Structures and Algorithms with Object-Oriented Design Patterns)