Differentiable vectors and analytic vectors in completions of certain representation spaces of a Kac-Moody algebra

DOI10.1215/KJM/1250520350zbMath0683.17013OpenAlexW1605167410MaRDI QIDQ5916458

Publication date: 1988

Published in: Journal of Mathematics of Kyoto University (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1215/kjm/1250520350

zbMATH Keywords

exponential map highest weight modules analytic vectors smooth vectors adjoint representation differentiable vectors completions of Kac-Moody algebras convergence of the Campbell-Hausdorff formula topological Lie algebras unitary operators on Hilbert space

Mathematics Subject Classification ID

Representations of Lie algebras and Lie superalgebras, algebraic theory (weights) (17B10) Kac-Moody (super)algebras; extended affine Lie algebras; toroidal Lie algebras (17B67) Infinite-dimensional Lie groups and their Lie algebras: general properties (22E65)

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