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math.GR2017★ 7 cited
Kac-Moody symmetric spaces
Walter Freyn, Tobias Hartnick, Max Horn +1
In the present article we introduce and study a class of topological reflection spaces that we call Kac-Moody symmetric spaces. These generalize Riemannian symmetric spaces of non-…
math.GR2016★ 4 cited
A Lightcone Embedding of the Twin Building of a Hyperbolic Kac-Moody Group
Lisa Carbone, Alex J. Feingold, Walter Freyn
Let A be a symmetrizable hyperbolic generalized Cartan matrix with Kac-Moody algebra g = g(A) and (adjoint) Kac-Moody group G = G(A)=$\langle\exp(ad(t e_i)), \exp(ad(t f_i)) \,|\,…
math.GR2014★ 2 cited
Weyl group orbits on Kac--Moody root systems
Lisa Carbone, Alexander Conway, Walter Freyn +1
Let be a Dynkin diagram and let be the simple roots of the corresponding Kac--Moody root system. Let denote the Cartan suba…