V. Knibbeler

activity

20132025

most citedHigher dimensional Automorphic Lie Algebras

16 citations · 43 across the 10 of their papers we have counts for

collaborators

Showing math.RTShow all

5 papers · 1 filter

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.RT2023

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…

math.RT2022★ 1 cited

Polyhedral Groups in $G_{2} (C)$

Vincent Knibbeler, Sara Lombardo, Casper Oelen

We classify embeddings of the finite groups $A_{4}$ , $S_{4}$ and $A_{5}$ in the Lie group $G_{2} (C)$ up to conjugation.

math.RT2020★ 2 cited

Wild Local Structures of Automorphic Lie Algebras

Drew Duffield, Vincent Knibbeler, Sara Lombardo

We study automorphic Lie algebras using a family of evaluation maps parametrised by the representations of the associative algebra of functions. This provides a descending chain of…

math.RT2020★ 6 cited

Automorphic Lie algebras and modular forms

V. Knibbeler, S. Lombardo, A. P. Veselov

We introduce and study certain hyperbolic versions of automorphic Lie algebras related to the modular group. Let $Γ$ be a finite index subgroup of $SL (2, Z)$ with…