7 citations · 25 across the 13 of their papers we have counts for
5 papers · 1 filter
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…