3 papers
math.DG2025
Hidden symmetries and the generic spectral setting of generalized laplacians on homogeneous spaces
Diego S. De Oliveira, Marcus A. M. Marrocos
The purpose of this work is to establish the spectral setting of some generalized Laplace operators associated to a generic -invariant metric on a compact homogeneous space $M=G…
math.SP2025
A note about the generic irreducibility of the spectrum of the Laplacian on homogeneous spaces
Diego S. de Oliveira, Marcus A. M. Marrocos
Petrecca and Röser (2018, \cite{Petrecca2019}), and Schueth (2017, \cite{Schueth2017}) had shown that for a generic -invariant metric on certain compact homogeneous spaces…
math.SP2024
Generic spectrum of the weighted Laplacian operator on Cayley graphs
Cristian F. Coletti, Lucas R. de Lima, Diego S. de Oliveira +1
In this paper, we investigate the spectrum of a class of weighted Laplacians on Cayley graphs and determine under what conditions the corresponding eigenspaces are generically irre…