Matches in SemOpenAlex for { <https://semopenalex.org/work/W4386794234> ?p ?o ?g. }
Showing items 1 to 41 of
41
with 100 items per page.
- W4386794234 abstract "Lie's third theorem does not hold for Lie groupoids and Lie algebroids. In this article, we show that Lie's third theorem is valid within a specific class of diffeological groupoids that we call `singular Lie groupoids.' To achieve this, we introduce a subcategory of diffeological spaces which we call `quasi-etale.' Singular Lie groupoids are precisely the groupoid objects within this category, where the unit space is a manifold. Our approach involves the construction of a functor that maps singular Lie groupoids to Lie algebroids, extending the classical functor from Lie groupoids to Lie algebroids. We prove that the v{S}evera-Weinstein groupoid of an algebroid is an example of a singular Lie groupoid, thereby establishing Lie's third theorem in this context." @default.
- W4386794234 created "2023-09-16" @default.
- W4386794234 creator A5058416162 @default.
- W4386794234 date "2023-09-13" @default.
- W4386794234 modified "2023-10-14" @default.
- W4386794234 title "On the integrability of Lie algebroids by diffeological spaces" @default.
- W4386794234 doi "https://doi.org/10.48550/arxiv.2309.07258" @default.
- W4386794234 hasPublicationYear "2023" @default.
- W4386794234 type Work @default.
- W4386794234 citedByCount "0" @default.
- W4386794234 crossrefType "posted-content" @default.
- W4386794234 hasAuthorship W4386794234A5058416162 @default.
- W4386794234 hasBestOaLocation W43867942341 @default.
- W4386794234 hasConcept C136119220 @default.
- W4386794234 hasConcept C156772000 @default.
- W4386794234 hasConcept C202444582 @default.
- W4386794234 hasConcept C2776503324 @default.
- W4386794234 hasConcept C33923547 @default.
- W4386794234 hasConcept C51568863 @default.
- W4386794234 hasConceptScore W4386794234C136119220 @default.
- W4386794234 hasConceptScore W4386794234C156772000 @default.
- W4386794234 hasConceptScore W4386794234C202444582 @default.
- W4386794234 hasConceptScore W4386794234C2776503324 @default.
- W4386794234 hasConceptScore W4386794234C33923547 @default.
- W4386794234 hasConceptScore W4386794234C51568863 @default.
- W4386794234 hasLocation W43867942341 @default.
- W4386794234 hasOpenAccess W4386794234 @default.
- W4386794234 hasPrimaryLocation W43867942341 @default.
- W4386794234 hasRelatedWork W1839322330 @default.
- W4386794234 hasRelatedWork W1912064545 @default.
- W4386794234 hasRelatedWork W1968024712 @default.
- W4386794234 hasRelatedWork W1974700261 @default.
- W4386794234 hasRelatedWork W2032011080 @default.
- W4386794234 hasRelatedWork W2150706552 @default.
- W4386794234 hasRelatedWork W2342145121 @default.
- W4386794234 hasRelatedWork W2479652453 @default.
- W4386794234 hasRelatedWork W2768848958 @default.
- W4386794234 hasRelatedWork W3134888030 @default.
- W4386794234 isParatext "false" @default.
- W4386794234 isRetracted "false" @default.
- W4386794234 workType "article" @default.