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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…