3 papers
hep-th2025
From Tensor Algebras to Hyperbolic Kac-Moody Algebras
Axel Kleinschmidt, Hannes Malcha, Hermann Nicolai
We propose a novel approach to study hyperbolic Kac-Moody algebras, and more specifically, the Feingold-Frenkel algebra , which is based on considering the tensor alg…
hep-th2024
A string-like realization of hyperbolic Kac-Moody algebras
Saverio Capolongo, Axel Kleinschmidt, Hannes Malcha +1
We propose a new approach to studying hyperbolic Kac-Moody algebras, focussing on the rank-3 algebra first investigated by Feingold and Frenkel. Our approach is base…
math.RT2024
Decompositions of hyperbolic Kac-Moody algebras with respect to imaginary root groups
Alex J. Feingold, Axel Kleinschmidt, Hermann Nicolai
We propose a novel way to define imaginary root subgroups associated with (timelike) imaginary roots of hyperbolic Kac-Moody algebras. Using in an essential way the theory of unita…