FUNCTORIAL ASPECTS OF THE RECONSTRUCTION OF LIE GROUPOIDS FROM THEIR BISECTIONS

DOI10.1017/S1446788716000021zbMath1416.58009arXiv1506.05587MaRDI QIDQ2976234

Christoph Wockel, Alexander Schmeding

Publication date: 28 April 2017

Published in: Journal of the Australian Mathematical Society (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1506.05587

zbMATH Keywords

Lie groupoidmapping spaceadjoint functorsinfinite-dimensional Lie groupcomonadbisection functor

Mathematics Subject Classification ID

Adjoint functors (universal constructions, reflective subcategories, Kan extensions, etc.) (18A40) Infinite-dimensional Lie groups and their Lie algebras: general properties (22E65) Pseudogroups and differentiable groupoids (58H05) Monads (= standard construction, triple or triad), algebras for monads, homology and derived functors for monads (18C15)

Related Items (3)

Linking Lie groupoid representations and representations of infinite-dimensional Lie groups ⋮ A differentiable monoid of smooth maps on Lie groupoids ⋮ The Lie group of vertical bisections of a regular Lie groupoid

Cites Work

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• Differentiable vectors and unitary representations of Fréchet-Lie supergroups
• Towards a Lie theory of locally convex groups
• Central extensions of infinite-dimensional Lie groups
• The Lie group of bisections of a Lie groupoid
• Non-Abelian extensions of infinite-dimensional Lie groups
• Differential calculus over general base fields and rings.

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