On Lie groups in varieties of topological groups
نویسندگان
چکیده
منابع مشابه
SEMINAR ON LIE GROUPS 1. Lie Groups
Example 1.3. (R,+) Example 1.4. S or T n = S × ...× S Example 1.5. Gl (n,F) ⊆ F, where F = R or C Example 1.6. E3 = isometries of R (2 connected components) Let the orthogonal group O3 < E3 be the subgroup that fixes the origin, and let the special orthogonal group SO (3) = SO3 < O3 be the orientation-preserving elements of O3. Visualizing SO (3): Let u be a vector of length l in R, correspondi...
متن کاملINEXTENSIBLE FLOWS OF CURVES IN LIE GROUPS
In this paper, we study inextensible ows in three dimensional Lie groups with a bi-invariant metric. The necessary and sucient conditions for inextensible curve ow are expressed as a partial dierential equation involving the curvatures. Also, we give some results for special cases of Lie groups.
متن کاملDefinable topological dynamics and real Lie groups
We investigate definable topological dynamics of groups definable in an o-minimal expansion of the field of reals. Assuming that a definable group G admits a model-theoretic analogue of Iwasawa decomposition, namely the compact-torsion-free decomposition G KH, we give a description of minimal subflows and the Ellis group of its universal definable flow SGpRq in terms of this decomposition. In p...
متن کاملL-FUZZIFYING TOPOLOGICAL GROUPS
The main purpose of this paper is to introduce a concept of$L$-fuzzifying topological groups (here $L$ is a completelydistributive lattice) and discuss some of their basic properties andthe structures. We prove that its corresponding $L$-fuzzifyingneighborhood structure is translation invariant. A characterizationof such topological groups in terms of the corresponding$L$-fuzzifying neighborhoo...
متن کاملA note on quasi irresolute topological groups
In this study, we investigate the further properties of quasi irresolute topological groups defined in [20]. We show that if a group homomorphism f between quasi irresolute topological groups is irresolute at $e_G$, then $f$ is irresolute on $G$. Later we prove that in a semi-connected quasi irresolute topological group $(G,*,tau )$, if $V$ is any symmetric semi-open neighborhood of $e_G$, then...
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: Colloquium Mathematicum
سال: 1998
ISSN: 0010-1354,1730-6302
DOI: 10.4064/cm-78-1-39-47