STABLE ERGODICITY OF SKEW EXTENSIONS BY COMPACT LIE GROUPS
نویسندگان
چکیده
منابع مشابه
Stable ergodicity for smooth compact Lie group extensions of hyperbolic basic sets
We obtain sharp results for the genericity and stability of transitivity, ergodicity and mixing for compact connected Lie group extensions over a hyperbolic basic set of a C2 diffeomorphism. In contrast to previous work, our results hold for general hyperbolic basic sets and are valid in the C -topology for all r > 0 (here r need not be an integer and C1 is replaced by Lipschitz). Moreover, whe...
متن کاملOn component extensions locally compact abelian groups
Let $pounds$ be the category of locally compact abelian groups and $A,Cin pounds$. In this paper, we define component extensions of $A$ by $C$ and show that the set of all component extensions of $A$ by $C$ forms a subgroup of $Ext(C,A)$ whenever $A$ is a connected group. We establish conditions under which the component extensions split and determine LCA groups which are component projective. ...
متن کاملOn Extensions of Representations for Compact Lie Groups
In this paper we study G-extensions of real and complex representations of a closed normal subgroup H of a compact Lie group G when G/H is connected. The main result gives a necessary and sufficient condition for every complex irreducible H-module to extend to a G-module. In particular, we show that every complex Hmodule extends to a G-module if the fundamental group of G/H is torsion free. We ...
متن کاملCompact Lie Groups
The first half of the paper presents the basic definitions and results necessary for investigating Lie groups. The primary examples come from the matrix groups. The second half deals with representation theory of groups, particularly compact groups. The end result is the Peter-Weyl theorem.
متن کاملon component extensions locally compact abelian groups
let $pounds$ be the category of locally compact abelian groups and $a,cin pounds$. in this paper, we define component extensions of $a$ by $c$ and show that the set of all component extensions of $a$ by $c$ forms a subgroup of $ext(c,a)$ whenever $a$ is a connected group. we establish conditions under which the component extensions split and determine lca groups which are component projective. ...
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: Topology
سال: 1999
ISSN: 0040-9383
DOI: 10.1016/s0040-9383(98)00008-1