V. Knibbeler

collaborators

3 papers

math.RT2025

A uniform construction of Chevalley normal forms for automorphic Lie algebras on the Riemann sphere

Vincent Knibbeler

For a finite subgroup $G$ of $S U (2)$ and one of its ground forms $P \in C [X, Y]$ , we show that the space of invariants $C [X, Y, P^{- 1}]_{k}^{G}$ of degree $k\in2\mathbb{…

math.RA2024

A classification of automorphic Lie algebras on complex tori

Vincent Knibbeler, Sara Lombardo, Casper Oelen

We classify the automorphic Lie algebras of equivariant maps from a complex torus to $sl_{2} (C)$ . For each case we compute a basis in a normal form. The automorph…

math.RT2024

Computing equivariant matrices on homogeneous spaces for Geometric Deep Learning and Automorphic Lie Algebras

Vincent Knibbeler

We develop an elementary method to compute spaces of equivariant maps from a homogeneous space $G / H$ of a Lie group $G$ to a module of this group. The Lie group is not required to…