Cocompact Amenable Closed Subgroups: Weakly Inequivalent Representations in the Left-Regular Representation
نویسندگان
چکیده
منابع مشابه
THE LEFT REGULAR REPRESENTATION OF A COMMUTATIVE SEPARATIVE SEMIGROUP
In this paper, a commutative semigroup will be written as a disjoint union of its cancellative subsemigroups. Based on this fact we will define the left regular representation of a commutative separative semigroup and show that this representation is faithful. Finally concrete examples of commutative separative semigroups, their decompositions and their left regular representations are given.
متن کاملWeakly Closed Unipotent Subgroups in Chevalley Groups
The aim of this note is to classify all weakly closed unipotent subgroups in the split Chevalley groups. In an application we show under some mild assumptions on the characteristic that 2 dimX + dim cg(X) < dim g for X a non-trivial unipotent subgroup of the connected simple algebraic group G. This shows the failure of the analogue of the so called “2F-condition” for finite groups for the adjoi...
متن کاملOrbit Inequivalent Actions of Non-amenable Groups
This is a preliminary note containing the proof that every countable non-amenable group admits continuum many orbit inequivalent free, measure preserving, ergodic actions on a standard Borel space with probability measure. 1. Summary and Notation Let Γ1 y α1 (X1, μ1),Γ2 y α2 (X2, μ2) be Borel measure preserving actions. α1 and α2 are orbit equivalent if there exist conull subsets A1 ⊂ X1, A2 ⊂ ...
متن کاملCocompact Arithmetic Subgroups of Pu
We will say that a smooth projective complex algebraic variety V (of dimension n − 1) is a fake Pn−1 if V is the quotient of the unit ball Bn−1 by a torsion-free cocompact discrete subgroup of PU(n − 1, 1), and all the Betti numbers of V are equal to those of Pn−1 C . If the fundamental goup of a fake P n−1 is an arithmetic subgroup of PU(n − 1, 1), then we will say that it is an arithmetic fak...
متن کاملMultiple Left Regular Representations Generated
Let p 1 p n 0, and p = detkx p j i k n i;j=1. Let Mp be the linear span of the partial derivatives of p. Then Mp is a graded Sn-module. We prove that it is the direct sum of graded left regular representations of Sn. Speciically, set j = p j , n , j, and let t be the Hilbert polynomial of the span of all skew Schur functions s = as varies in. Then the graded Frobenius characteristic of Mp is t ...
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: International Mathematics Research Notices
سال: 2016
ISSN: 1073-7928,1687-0247
DOI: 10.1093/imrn/rnw012