Borel–Weil Theory for Root Graded Banach–Lie Groups

DOI10.1093/imrn/rnp146zbMath1187.22017arXiv0903.1188OpenAlexW2963827184WikidataQ115273721 ScholiaQ115273721MaRDI QIDQ3550231

Henrik Seppänen, Christoph Müller, Karl-Hermann Neeb

Publication date: 31 March 2010

Published in: International Mathematics Research Notices (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/0903.1188

zbMATH Keywords

irreducible representationhomogeneous vector bundleholomorphic sectionholomorphic representationBott-Borel-Weil theoremroot graded Lie algebraroot graded Lie group

Mathematics Subject Classification ID

Infinite-dimensional Lie (super)algebras (17B65) Semisimple Lie groups and their representations (22E46) Infinite-dimensional Lie groups and their Lie algebras: general properties (22E65) Representations of groups, semigroups, etc. (aspects of abstract harmonic analysis) (43A65)

Related Items (4)

On differentiable vectors for representations of infinite dimensional Lie groups ⋮ On analytic vectors for unitary representations of infinite dimensional Lie groups ⋮ Lie algebras graded by the weight systems \((\Theta_3,\mathrm{sl}_3)\) and \((\Theta_4,\mathrm{sl}_4)\) ⋮ Holomorphic Realization of Unitary Representations of Banach–Lie Groups

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