Pro-Lie groups which are infinite-dimensional Lie groups

DOI10.1017/S030500410800128XzbMath1165.22017arXivmath/0609684OpenAlexW2113102301WikidataQ115336020 ScholiaQ115336020MaRDI QIDQ3616237

Karl-Hermann Neeb, Karl Heinrich Hofmann

Publication date: 24 March 2009

Published in: Mathematical Proceedings of the Cambridge Philosophical Society (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/math/0609684

zbMATH Keywords

pro-Lie grouppro-Lie algebra

Mathematics Subject Classification ID

Infinite-dimensional Lie groups and their Lie algebras: general properties (22E65) Lie algebras of Lie groups (22E60)

Related Items (16)

Kernels of linear representations of Lie groups, locally compact groups, and pro-Lie Groups ⋮ Amenability and representation theory of pro-Lie groups ⋮ Finite and infinite dimensional Lie group structures on Riordan groups ⋮ On differentiable vectors for representations of infinite dimensional Lie groups ⋮ Generalized positive energy representations of groups of jets ⋮ Pro-Lie groups: a survey with open problems ⋮ Characteristic curves and the exponentiation in the Riordan Lie group: a connection through examples ⋮ The early proofs of the theorem of Campbell, Baker, Hausdorff, and Dynkin ⋮ Equivariant extension properties of coset spaces of locally compact groups and approximate slices ⋮ Unnamed Item ⋮ Unnamed Item ⋮ Lie group structures on groups of smooth and holomorphic maps on non-compact manifolds ⋮ Covering space semigroups and retracts of compact Lie groups ⋮ Character groups of Hopf algebras as infinite-dimensional Lie groups ⋮ Towards a Lie theory of locally convex groups ⋮ Free compact groups. IV: Splitting the component and the structure of the commutator group

Cites Work

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• The Lie theory of connected pro-Lie groups. A structure theory for pro-Lie algebras, pro-Lie groups, and connected locally compact groups
• Towards a Lie theory of locally convex groups
• Implicit functions from topological vector spaces to Banach spaces
• Formal power series transformations
• On some types of topological groups
• Sur L'Intégrabilité des Sous–Algèbres de lie en Dimension Infinie
• On the Local Theory of Continuous Infinite Pseudo Groups I

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