M. Kaluba

collaborators

2 papers

math.GR2024

Kazhdan constants for Chevalley groups over the integers

Marek Kaluba, Dawid Kielak

We compute lower bounds for Kazhdan constants of Chevalley groups over the integers, endowed with the standard Steinberg generators. For types other than $A_{n}$ , these ar…

math.GR2024

Spectral gap for the cohomological Laplacian of $SL_{3} (Z)$

Marek Kaluba, Piotr Mizerka, Piotr W. Nowak

We show that the cohomological Laplacian in degree 1 in the group cohomology of $SL_{3} (Z)$ is a sum of hermitian squares in the algebra $\mathbb{M}_n(\mathbb…

Kazhdan constants for Chevalley groups over the integers

Spectral gap for the cohomological Laplacian of SL3​(Z)

Spectral gap for the cohomological Laplacian of $SL_{3} (Z)$