[BOOK][B] An introduction to Kac–Moody groups over fields
T Marquis - 2018 - ems.press
The interest for Kac–Moody algebras and groups has grown exponentially in the past
decades, both in the mathematical and physics communities. In physics, this interest has …
decades, both in the mathematical and physics communities. In physics, this interest has …
High-dimensional expanders from Kac–Moody–Steinberg groups
LG de Peralta, I Valentiner-Branth - European Journal of Combinatorics, 2025 - Elsevier
High-dimensional expanders are a generalization of the notion of expander graphs to
simplicial complexes and give rise to a variety of applications in computer science and other …
simplicial complexes and give rise to a variety of applications in computer science and other …
Tame automorphism groups of polynomial rings with property (T) and infinitely many alternating group quotients
PE Caprace, M Kassabov - Transactions of the American Mathematical …, 2023 - ams.org
We construct new families of groups with property (T) and infinitely many alternating group
quotients. One of those consists of subgroups of $\mathrm {Aut}(\mathbf {F} _ {p}[x_1,\dots …
quotients. One of those consists of subgroups of $\mathrm {Aut}(\mathbf {F} _ {p}[x_1,\dots …
Hyperbolic generalized triangle groups, property (T) and finite simple quotients
We construct several series of explicit presentations of infinite hyperbolic groups enjoying
Kazhdan's property (T). Some of them are significantly shorter than the previously known …
Kazhdan's property (T). Some of them are significantly shorter than the previously known …
SL2 representations and relative property (T)
Z Zhang - Journal of Algebra, 2024 - Elsevier
We investigate relative property (T) of Kazhdan-Margulis for (SL 2 (R)⋉ R n, R n), mainly
where R is a discrete finitely generated commutative ring. The action of SL 2 (R) on R n is …
where R is a discrete finitely generated commutative ring. The action of SL 2 (R) on R n is …
High dimensional expanders and coset geometries
T Kaufman, I Oppenheim - arxiv preprint arxiv:1710.05304, 2017 - arxiv.org
High dimensional expanders is a vibrant emerging field of study. Nevertheless, the only
known construction of bounded degree high dimensional expanders is based on …
known construction of bounded degree high dimensional expanders is based on …
Link conditions for cubulation
CJ Ashcroft - International Mathematics Research Notices, 2023 - academic.oup.com
We provide a condition on the links of polygonal complexes that is sufficient to ensure
groups acting properly discontinuously and cocompactly on such complexes contain a …
groups acting properly discontinuously and cocompactly on such complexes contain a …
High dimensional expanders and coset geometries
T Kaufman, I Oppenheim - European Journal of Combinatorics, 2023 - Elsevier
High dimensional expanders is a vibrant emerging field of study. Nevertheless, the only
known construction of bounded degree high dimensional expanders is based on …
known construction of bounded degree high dimensional expanders is based on …
[PDF][PDF] Unitary representations and Kazhdan's property (T)
A Loué, PE Caprace - 2021 - dial.uclouvain.be
Kazhdan's property (T) is a rigidity property of unitary representations of groups. More
precisely, we say that a group has property (T) if, whenever a unitary representation almost …
precisely, we say that a group has property (T) if, whenever a unitary representation almost …
Groups over Fields
T Marquis - ems.press
The interest for Kac–Moody algebras and groups has grown exponentially in the past
decades, both in the mathematical and physics communities. In physics, this interest has …
decades, both in the mathematical and physics communities. In physics, this interest has …