This lecture is part of a series which gives an expanded version of the Vinberg lecture on "Vinberg's algorithm and Kac-Moody algebras". This video is part 1 and describes how Vinberg used his algorithm to calculate the reflection groups of some Lorentzian lattices.
Vinberg's paper can be found at
https://mathweb.tifr.res.in/sites/def...
The original version of the lecture is here:
https://amathr.org/Borcherds-vinberg/
For the other lectures see
• Vinberg lecture