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{{Short description|Restriction on topological groups in mathematics}} ...G.</math> An abbreviation '"'''NSS'''"' is sometimes used. A basic example of a topological group with no small subgroup is the [[general linear group]] ...

{{Short description|special kind of topological group - translation from the German Wikipedia}} ...topological group]] that can be written in a certain sense as a limit of [[Lie group]]s.<ref> Hofmann, Morris 2007, p. vii </ref> ...

...ion|Lifts an action of a finite-dimensional Lie algebra on a manifold to a Lie group action}} ...s}} proved it as a global form of an earlier local theorem due to [[Sophus Lie]]. ...

...e [[Thom class]] <math>\lambda_V</math> of a complex [[Representation of a Lie group|representation]] <math>V</math>. The term "cannibalistic" for these c ...s| title=On the groups <math>J(X)</math>. II.|journal=[[Topology (journal)|Topology]] |volume=3|year=1965|issue=2|doi=10.1016/0040-9383(65)90040-6|pages=137–17 ...

...fore, one theory but a way of creating additive or infinitesimal analogues of multiplicative theories. ...es over <math>A</math> with only finitely many nonzero entries. Then the [[Lie algebra homology]] ...

...(discrete subgroup)|lattices]] in Lie groups, often under the name ''field of definition''. == Fuchsian and Kleinian groups == ...

...e theory]]. Due to its special properties it is of interest in [[algebraic topology]], [[cobordism theory]] and [[spin geometry]]. The manifold was first stud ...d |url=http://www.boma.mpim-bonn.mpg.de/data/33print.pdf |website=Bulletin of the Manifold Atlas}}<!-- auto-translated from German by Module:CS1 translat ...

...of ''G'' and ''K'' is a [[maximal compact subgroup]] of ''G''.<ref>Page 12 of {{harvnb|Doran|Varadarajan|2000}}</ref> ...sentation]] of ''K'' (without regard to the [[topological space|topology]] of ''K'') satisfying the following three conditions ...

...ept of a [[topological group]]; all topological groups are semitopological groups but the [[Converse (logic)|converse]] does not hold. ...f>{{cite book|last1=Husain|first1=Taqdir|title=Introduction to Topological Groups|date=2018|publisher=Courier Dover Publications|isbn=9780486828206|pages=27| ...

...[Kähler manifold#Complex viewpoint|Kähler form]]) is the [[Quotient space (topology)|quotient]] ...e properties of actions|freely]] and [[Group action#Actions of topological groups|properly]], then <math>\mu^{-1}(0)/G</math> is a new Kähler manifold whose ...

...atic]] approach to the [[stable homotopy theory]], a branch of [[algebraic topology]]. ...hism|faithfully flat]]. In fact, <math>\mathcal{M}^n_{\text{FG}}</math> is of the form <math>\operatorname{Spec} \overline{\mathbb{F}_p} / \operatorname{ ...

...938, [[São Paulo]]) is a German mathematician, specializing in [[algebraic topology]]. Tammo tom Dieck studied mathematics from 1957 at the [[University of Göttingen]] ...

...rt description|Technical condition on the relationship between a reductive Lie algebra and a subalgebra}} ...pair''' is a technical condition on the relationship between a [[reductive Lie algebra]] <math>\mathfrak{g}</math> and a subalgebra <math>\mathfrak{k}</ma ...

...eory of [[Lie group]]s. (Thus, a Lie algebroid can be thought of as 'a ''[[Lie algebra]] with [[categorification|many objects]]'' '). ...th composition given by the usual bilinear rule, extending the composition of <math>\mathsf{G}</math>.<ref>{{harvnb|Mosa|1986}}</ref> ...

{{short description|A mathematical operator used in theoretical physics and topology}} ...chanics]], and for their use in constructing [[Knot invariant|invariants]] of [[knot theory|knots]], links, and three-dimensional [[manifolds]].<ref name ...

{{Short description|Class of algebraic theorems}} ...subgroups of [[Lie group]]s are results which show that small deformations of certain such subgroups are always trivial. It is different from [[Mostow ri ...

...can English|date=January 2019}}{{Short description|Equivalence relation of groups ...iffer only by a finite amount, in a precise sense. The '''commensurator''' of a [[subgroup]] is another subgroup, related to the [[normalizer]]. ...

| nationality = [[United States of America|American]] | alma_mater = [[Massachusetts Institute of Technology|MIT]]<br>[[Stanford University]] ...

{{Short description|The isometry group of a Riemannian manifold is a Lie group}} ...owing that a distance-preserving map, which is a priori only [[continuity (topology)|continuous]], is actually [[Differentiable function|differentiable]]. ...

...ertain [[functor]] from the category of topological spaces to the category of [[groupoid]]s. ...hing, to work with fundamental groupoids with respect to a suitable packet of base points, [,,,] ...