Lie Calculus

DOI10.4064/bc113-0-4zbMath1431.18006arXiv1702.08282OpenAlexW3037746148MaRDI QIDQ4634618

Wolfgang Bertram

Publication date: 10 April 2018

Published in: Banach Center Publications (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1702.08282

zbMATH Keywords

Lie groupLie groupoidgroupoidstangent groupoid(conceptual, topological) differential calculuscubes of ringshigher algebra (n-fold groupoids)

Mathematics Subject Classification ID

Infinite-dimensional Lie groups and their Lie algebras: general properties (22E65) Discrete version of topics in analysis (39A12) Differentiation theory (Gateaux, Fréchet, etc.) on manifolds (58C20) Groupoids (i.e. small categories in which all morphisms are isomorphisms) (20L05) Abstract manifolds and fiber bundles (category-theoretic aspects) (18F15) Differential calculus (educational aspects) (97I40)

Cites Work

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• From Groups to Groupoids: a Brief Survey
• Simplicial differential calculus, divided differences, and construction of Weil functors
• A general construction of Weil functors
• Differential geometry, Lie groups and symmetric spaces over general base fields and rings
• Loops in group theory and Lie theory

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