Results 1 to 10 of about 12,830 (65)
Representation growth and representation zeta functions of groups [PDF]
, 2012 We give a short introduction to the subject of representation growth and representation zeta functions of groups, omitting all proofs. Our focus is on results which are relevant to the study of arithmetic groups in semisimple algebraic groups, such as ...
Klopsch, Benjamin
core +3 more sources
Permutations of Massive Vacua [PDF]
, 2017 We discuss the permutation group G of massive vacua of four-dimensional gauge theories with N=1 supersymmetry that arises upon tracing loops in the space of couplings.
Bourget, Antoine, Troost, Jan
core +4 more sources
L2-invariants of nonuniform lattices in semisimple Lie groups [PDF]
, 2013 We compute L2-invariants of certain nonuniform lattices in semisimple Lie groups by means of the Borel-Serre compactification of arithmetically defined locally symmetric spaces. The main results give new estimates for Novikov-Shubin numbers and vanishing
Kammeyer, Holger
core +2 more sources
Cocompact lattices on A~n buildings [PDF]
, 2014 We construct cocompact lattices Γ’<sub>0</sub>< Γ<sub>0</sub> in the group G = PGL<sub>d</sub>(F<sub>q</sub>((t))) which are type-preserving and act transitively on the set of vertices of each type in ...
Capdeboscq, Inna +2 more
core +1 more source
Multiplicative Invariants and the Finite Co-Hopfian Property [PDF]
, 2009 A group is said to be, finitely co-Hopfian when it contains no proper subgroup of finite index isomorphic to itself. It is known that irreducible lattices in semisimple Lie groups are finitely co-Hopfian.
Humphreys, JJAM, Johnson, FEA
core +1 more source
Noncoherence of some lattices in Isom(Hn) [PDF]
, 2008 We prove noncoherence of certain families of lattices in the isometry group of the hyperbolic n-space for n greater than 3. For instance, every nonuniform arithmetic lattice in SO(n,1) is noncoherent, provided that n is at least 6.Comment: This is the ...
Kapovich, Michael +2 more
core +6 more sources
On uniform lattices in real semisimple groups
, 2015 In this article we prove that the co-compactness of the arithmetic lattices in a connected semisimple real Lie group is preserved if the lattices under consideration are representation equivalent.
Bhagwat, Chandrasheel, Pisolkar, Supriya
core +1 more source
Abstract commensurators of lattices in Lie groups
, 2015 Let Gamma be a lattice in a simply-connected solvable Lie group. We construct a Q-defined algebraic group A such that the abstract commensurator of Gamma is isomorphic to A(Q) and Aut(Gamma) is commensurable with A(Z).
Studenmund, Daniel
core +1 more source
Johnson homomorphisms and actions of higher-rank lattices on right-angled Artin groups
, 2013 Let G be a real semisimple Lie group with no compact factors and finite centre, and let $\Lambda$ be a lattice in G. Suppose that there exists a homomorphism from $\Lambda$ to the outer automorphism group of a right-angled Artin group $A_\Gamma$ with ...
Wade, Richard D.
core +1 more source
On the residual and profinite closures of commensurated subgroups
, 2019 The residual closure of a subgroup $H$ of a group $G$ is the intersection of all virtually normal subgroups of $G$ containing $H$. We show that if $G$ is generated by finitely many cosets of $H$ and if $H$ is commensurated, then the residual closure of ...
Caprace, Pierre-Emmanuel +3 more
core +1 more source