Weyl Groups of some Hyperbolic Kac-Moody Algebras
Group Theory, Rings and Algebras, Representation Theory
We use the theory of Clifford algebras and Vahlen groups to study Weyl groups of hyperbolic Kac-Moody algebras T ++ n , obtained by a process of double extension from a Cartan matrix of finite type Tn, whose corresponding generalized Cartan matrices are symmetric.
Feingold, A. J., & Vallières, D. (2016). Weyl groups of some hyperbolic Kac-Moody algebras. arXiv preprint arXiv:1601.04117.