Borel–Weil theory for groups over commutative Banach algebras

DOI10.1515/CRELLE.2011.040zbMath1239.22016arXiv0909.1697OpenAlexW2964336664MaRDI QIDQ5198586

Henrik Seppänen, Karl-Hermann Neeb

Publication date: 8 August 2011

Published in: Journal für die reine und angewandte Mathematik (Crelles Journal) (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/0909.1697

zbMATH Keywords

Banach-Lie group, semi-simple complex Lie algebrahomogeneous holomorphic line bundlesinvolutive holomorphic representations

Mathematics Subject Classification ID

Structure of general topological groups (22A05) General theory of commutative topological algebras (46J05) Infinite-dimensional holomorphy (46G20) Infinite-dimensional Lie groups and their Lie algebras: general properties (22E65)

Related Items (2)

Schur-Weyl Theory for C *-algebras ⋮ Semibounded unitary representations of double extensions of Hilbert-loop groups

Cites Work

• Unnamed Item
• Weyl modules, Demazure modules, KR-modules, crystals, fusion products and limit constructions
• Towards a Lie theory of locally convex groups
• Multi-dimensional Weyl modules and symmetric functions
• Lie groups with Banach spaces as parameter spaces

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