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...ra]] related to the [[partial representation]]s of a [[group (mathematics)|group]]. * The partial group algebra <math>\mathbb{C}_{\text{par}}(\mathbb{Z}_4)</math> is [[isomorphic] ...

...eneralizes a [[group scheme]], which is a scheme whose sets of points have group structures in a compatible way. ...roup algebraic-space''', an algebraic-space analog of a group scheme, is a group-stack. ...

...anifold]] <math>X</math> by a [[Lie group]] <math>G</math> [[Group action (mathematics)|acting]] on <math>X</math> by preserving the Kähler structure and with [[m ...[Group action#Remarkable properties of actions|freely]] and [[Group action#Actions of topological groups|properly]], then <math>\mu^{-1}(0)/G</math> is a new ...

In [[mathematics]], particularly in [[representation theory]], a '''symplectic resolution''' ...between [[complex algebraic varieties]], where <math>Y</math> is [[smooth (mathematics)|smooth]] and carries a [[symplectic structure]], and <math>X</math> is [[a ...

...s)|group action]] adapted to the smooth setting: <math>G</math> is a [[Lie group]], <math>M</math> is a [[smooth manifold]], and the action map is [[differe ...<math>G \to \mathrm{Diff}(M)</math>. A smooth manifold endowed with a Lie group action is also called a '''''<math>G</math>''-manifold'''. ...

{{Short description|Study of spaces with group actions}} In [[mathematics]], '''equivariant topology''' is the study of [[topological space]]s that p ...

...ion (mathematics)|group action]] to a [[group scheme]]. Precisely, given a group ''S''-scheme ''G'', a '''left action of ''G'' on an ''S''-scheme ''X''''' i ...irc (m \times 1_X)</math>, where <math>m: G \times_S G \to G</math> is the group law, ...

...a method of studying the [[Group action (mathematics)|action]] of [[group (mathematics)|groups]] on [[Real tree|'''R'''-trees]]. It was introduced in unpublished ...last1=Bestvina | first1=Mladen | last2=Feighn | first2=Mark | title=Stable actions of groups on real trees | doi=10.1007/BF01884300 | doi-access=free | mr=134 ...

...ic group]] <math>G</math> over a field <math>K</math> is another algebraic group <math>H</math> such that there exists an isomorphism <math>\phi</math> betw ...uivalence relation on the set of <math>K</math>-forms of a given algebraic group. ...

[[Group action (mathematics)|Group action]]s are central to [[Riemannian geometry]] and defining [[Orbit (cont ...al images are scalar and tensor images from [[medical imaging]]. The group actions are used to define models of human shape which accommodate variation. These ...

In [[mathematics]], the '''Thurston boundary''' of [[Teichmüller space]] of a surface is obt .../math>. The action of the [[Mapping class group of a surface|mapping class group]] on the Teichmüller space extends continuously over the union with the bou ...

...</math> is a complete [[smooth curve]] of genus at least 2 over a [[field (mathematics)|field]] <math>k</math> that is finitely generated over <math>\mathbb{Q}</m ...| editor2-first=Pierre | editor1-link=Leila Schneps|title=Geometric Galois actions, 1 | publisher=[[Cambridge University Press]] | series=London Math. Soc. Le ...

{{broader|Transformation (mathematics)}} ...stances, angles, or ratios (scale). More specifically, it is a [[function (mathematics)|function]] whose [[Domain of a function|domain]] and [[Range of a function ...

In mathematics, '''cocompact embeddings''' are [[embedding]]s of [[normed vector space]]s ...The term ''cocompact embedding'' is inspired by the notion of [[Cocompact group action|cocompact topological space]]. ...

...math> in a way that generalizes the properties of the action of [[Kleinian group]] by [[Möbius transformation]]s on the ideal boundary <math>\mathbb S^2</ma The notion of a convergence group was introduced by [[Frederick Gehring|Gehring]] and [[Gaven Martin|Martin]] ...

| thesis_title = Smooth Actions of the Classical Groups ...m.pk/books?id=UVnvAAAAMAAJ&q=Multiaxial+Actions+on+Manifolds&dq=Multiaxial+Actions+on+Manifolds&hl=en&sa=X&redir_esc=y ...

{{short description|Mathematical group formed from the automorphisms of an object}} ...group <math>\operatorname{Aut}(X)</math> is the group consisting of all [[group automorphism]]s of ''X''. ...

...esentation|irreducible unitary representations]] of a real reductive [[Lie group]], ''G'', could be reduced to the study of irreducible <math>(\mathfrak{g}, ...both a [[Lie algebra representation]] of <math>\mathfrak{g}</math> and a [[group representation]] of ''K'' (without regard to the [[topological space|topolo ...

...bra''<ref>For a readable overview of various diagram algebras generalizing group algebras of symmetric groups, see Halverson and Ram 2005.</ref> it is natur ...ace from right to left. Let <math>\mathfrak{S}_n</math> be the [[symmetric group]]<ref>See James 1978 for the representation theory of symmetric groups. Wey ...

...CAT(0)]] cube complexes appear with increasing significance in [[geometric group theory]]. == In geometric group theory == ...