7 citations · 25 across the 13 of their papers we have counts for
13 papers
Survey on real forms of the complex -Toda equation and surface theory
Josef F. Dorfmeister, Walter Freyn, Shimpei Kobayashi +1
The classical result of describing harmonic maps from surfaces into symmetric spaces of reductive Lie groups states that the Maurer-Cartan form with an additional parameter, the so…
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-…
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)) \,|\,…
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…
Dimensions of Imaginary Root Spaces of Hyperbolic Kac--Moody Algebras
Lisa Carbone, Walter Freyn, Kyu-Hwan Lee
We discuss the known results and methods for determining root multiplicities for hyperbolic Kac--Moody algebras.
Holomorphic completions of affine Kac-Moody groups
Walter Freyn
We construct holomorphic loop groups and their associated affine Kac-Moody groups and prove that they are tame Fréchet manifolds. These results form the functional analytic basis f…
Kac-Moody symmetric spaces of Euclidean type
Walter Freyn
We investigate in detail the class of Euclidean affine Kac-Moody symmetric spaces and their orthogonal symmetric affine Kac-Moody algebras (OSAKAs). These spaces are the only class…
Tame Fréchet submanifolds
Walter Freyn
We introduce the new class of submanifolds of co-Banach type in tame Fréchet manifolds and construct tame Fréchet submanifolds as inverse images of regular values of certain tame m…
Orthogonal affine Kac-Moody algebras
Walter Freyn
Riemannian symmetric spaces are fundamental objects in finite dimensional differential geometry. An important problem is the construction of symmetric spaces for generalizations of…
Affine Kac-Moody symmetric spaces
Walter Freyn
Since the work of Henri Cartan finite dimensional Riemannian symmetric spaces are an important subject of mathematical interest. They are related in a natural way to semisimple Lie…
Linear representations of twin cities
Walter Freyn
For spherical Tits buildings of the classical types there are well-known explicit descriptions as flag complexes. Similarly for affine buildings of the classical types there are ex…
Kac-Moody groups, analytic regularity conditions and cities
Walter Freyn
The relationship between minimal algebraic Kac-Moody groups and twin buildings is well known as is the relationship between formal completions in one direction and affine buildings…
Kac-Moody geometry
Walter Freyn
The geometry of symmetric spaces, polar actions, isoparametric submanifolds and spherical buildings is governed by spherical Weyl groups and simple Lie groups. A natural generaliza…