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searching for Action groupoid 6 found (9 total)

Lie groupoid (7,449 words) [view diff] exact match in snippet view article find links to article

× M ⇉ M {\displaystyle G\times M\rightrightarrows M} , called the action groupoid or translation groupoid, with one morphism for each triple g ∈ G ,

Group action (5,742 words) [view diff] exact match in snippet view article find links to article

category of G-sets. The notion of group action can be encoded by the action groupoid G′ = G ⋉ X associated to the group action. The stabilizers of the action

Differentiable stack (2,811 words) [view diff] exact match in snippet view article find links to article

{\displaystyle [M/G]} corresponds to the Morita equivalence class of the action groupoid M × G ⇉ M {\displaystyle M\times G\rightrightarrows M} . Accordingly

Prestack (4,266 words) [view diff] exact match in snippet view article find links to article

functor to C, this category F is fibered in groupoids and is known as an action groupoid or a transformation groupoid. It may also be called the quotient prestack

Poisson manifold (12,716 words) [view diff] exact match in snippet view article find links to article

is always integrable, a symplectic groupoid being the (coadjoint) action groupoid G × g ∗ ⇉ g ∗ {\displaystyle G\times {\mathfrak {g}}^{*}\rightrightarrows

Lie algebroid (7,376 words) [view diff] exact match in snippet view article find links to article

algebra bundle A → M {\displaystyle A\to M} The Lie algebroid of an action groupoid G × M ⇉ M {\displaystyle G\times M\rightrightarrows M} is the action