Character rigidity of simple algebraic groups
نویسندگان
چکیده
منابع مشابه
Character rigidity for special linear groups
In this paper we study characters on special linear groups SLn(R), where R is either an infinite field or the localization of an order in a number field. We give several applications to the theory of measure-preserving actions, operator-algebraic superrigidity, and almost homomorphisms.
متن کاملCharacter rigidity for lattices in higher-rank groups
We show that if Γ is an irreducible lattice in a higher rank center-free semi-simple Lie group with no compact factors and having property (T) of Kazhdan, then Γ is operator algebraic superrigid, i.e., any unitary representation of Γ which generates a II1 factor extends to a homomorphism of the group von Neumann algebra LΓ. This generalizes results of Margulis, and Stuck and Zimmer, and answers...
متن کاملAn Invariant of Simple Algebraic Groups
The Rost invariant associated with a simple simply connected algebraic group G is used to define an invariant of strongly inner forms of G. This invariant takes values in a quotient of H(k, Q/Z(2)). It is used to answer a question of Serre about groups of type E6 and to prove a generalization of Gille’s splitting criterion for groups of type E6 and E7. For G a semisimple (affine) algebraic grou...
متن کاملOn Multicommutators for Simple Algebraic Groups
There are several examples of groups for which any pair of commutators can be written such that both of them have a common entry, and one can look for a similar property for n-tuples of commutators. We here answer, for simple algebraic groups over any field, the weaker question, under which condition the set of n-tuples of commutators with one common entry is Zariski dense in the set of all n-t...
متن کاملRATIONAL CHARACTER TABLE OF SOME FINITE GROUPS
The aim of this paper is to compute the rational character tables of the dicyclic group $T_{4n}$, the groups of order $pq$ and $pqr$. Some general properties of rational character tables are also considered into account.The aim of this paper is to compute the rational character tables of the dicyclic group $T_{4n}$, the groups of order $pq$ and $pqr$. Some general properties of rational charact...
متن کاملذخیره در منابع من
با ذخیره ی این منبع در منابع من، دسترسی به آن را برای استفاده های بعدی آسان تر کنید
ژورنال
عنوان ژورنال: Mathematische Annalen
سال: 2020
ISSN: 0025-5831,1432-1807
DOI: 10.1007/s00208-020-02061-x