Property (𝑇) for Groups Graded by Root Systems

DOI10.1090/memo/1186zbMath1375.22005arXiv1102.0031OpenAlexW4238101435MaRDI QIDQ5366978

Andrei Jaikin-Zapirain, Martin Kassabov, Mikhail V. Ershov

Publication date: 10 October 2017

Published in: Memoirs of the American Mathematical Society (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1102.0031

zbMATH Keywords

Chevalley groupsSteinberg groupsproperty \((T)\)gradings by root systems

Mathematics Subject Classification ID

Graded Lie (super)algebras (17B70) Unitary representations of locally compact groups (22D10) Groups with a (BN)-pair; buildings (20E42) Root systems (17B22)

Related Items

Bounded reduction of orthogonal matrices over polynomial rings ⋮ Tame automorphism groups of polynomial rings with property (T) and infinitely many alternating group quotients ⋮ Low-dimensional representations of matrix groups and group actions on \(\mathrm{CAT}(0)\) spaces and manifolds. ⋮ Bounded reduction for Chevalley groups of types \(E_6\) and \(E_7\) ⋮ \(\operatorname{SL}_2\) representations and relative property (T) ⋮ Groups graded by root systems and property ( T ) ⋮ Bounded generation and commutator width of Chevalley groups: function case ⋮ Property (\(T\)) for Kac-Moody groups over rings ⋮ Fixed-point theorems for groups acting on non-positively curved manifolds ⋮ Superrigidity from Chevalley groups into acylindrically hyperbolic groups via quasi-cocycles ⋮ Chevalley groups of polynomial rings over Dedekind domains ⋮ On abstract homomorphisms of Chevalley groups over the coordinate rings of affine curves ⋮ Curvature criterion for vanishing of group cohomology

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