activity
20012022
most citedLoop groups and twin buildings

3 citations · 19 across the 27 of their papers we have counts for

collaborators

33 papers

math.GR2022★ 1 cited

Hodge Operators and Exceptional Isomorphisms between Unitary Groups

Linus Kramer, Markus J. Stroppel

We give a generalization of the Hodge operator to spaces endowed with a hermitian or symmetric bilinear form over arbitrary fields, including the characteristic two cas…

math.GR2022

Hodge operators and groups of isometries of diagonalizable symmetric bilinear forms in characteristic two

Linus Kramer, Markus J. Stroppel

We study groups of isometries on non-alternating symmetric bilinear forms on vector spaces of characteristic two, and actions of these groups on exterior powers of the space, viewe…

math.GR2022

A note on commutators in compact semisimple Lie algebras

Linus Kramer

Given two elements in a compact semisimple Lie algebra, we show that there is a regular element and elements with and . In the course of the proo…

math.GR2022

Weyl Tensors, Strongly Regular Graphs, Multiplicative Characters, and a Quadratic Matrix Equation

Christopher Deninger, Theo Grundhöfer, Linus Kramer

We study solutions of a quadratic matrix equation arising in Riemannian geometry. Let be a real symmetric -matrix with zeros on the diagonal and let be a real nu…

math.GR2021

Some remarks on proper actions, proper metric spaces, and buildings

Linus Kramer

We discuss various aspects of isometric group actions on proper metric spaces. As one application, we show that a proper and Weyl transitive action on a euclidean building is stron…

math.RT2020

On Weakly Complete Universal Enveloping Algebras: A Poincare-Birkhoff-Witt Theorem

Karl H. Hofmann, Linus Kramer

We study universal enveloping Hopf algebras of Lie algebras in the category of weakly complete vector spaces over the real and complex field.