V. Knibbeler

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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.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…