The Monster Lie algebra 𝔪 is an infinite-dimensional Lie algebra constructed by Borcherds as part of his programme to solve the Conway-Norton Monstrous Moonshine Conjecture. We describe how one may approach the problem of associating a Lie group analogue for 𝔪 and we outline some constructions.

This is joint work with Abid Ali, Elizabeth Jurisich and Scott H. Murray.

This video is part of the University of Georgia‘s Algebra seminar.