2 papers
math.QA2026
A Magnus group construction for a class of Borcherds algebras
Lisa Carbone, Elizabeth Jurisich
We construct a group associated to a class of Borcherds algebras that admit a direct sum decomposition into a Kac--Moody (or semi-simple) subalgebra and a pair of free Lie subalgeb…
math.RT2026
Prosummability in Kac--Moody groups
Abid Ali, Lisa Carbone, Elizabeth Jurisich +1
Let be a symmetrizable Kac--Moody algebra. We describe {standard graded} -modules , which we use to construct a completion and pro-uni…