Exponentials of certain completions of the unitary form of a Kac-Moody algebra

DOI10.3792/PJAA.64.208zbMath0658.17017OpenAlexW2080853869MaRDI QIDQ1111684

Kiyokazu Suto

Publication date: 1988

Published in: Proceedings of the Japan Academy. Series A (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.3792/pjaa.64.208

zbMATH Keywords

invarianceexponential mapKac-Moody algebraadjoint representationunitary formspace of \(C^ m\)-vectors

Mathematics Subject Classification ID

Kac-Moody (super)algebras; extended affine Lie algebras; toroidal Lie algebras (17B67) Infinite-dimensional Lie groups and their Lie algebras: general properties (22E65) Representations of Lie algebras and Lie superalgebras, analytic theory (17B15) Group structures and generalizations on infinite-dimensional manifolds (58B25)

Cites Work

• Unitary structure in representations of infinite-dimensional groups and a convexity theorem
• Groups associated with compact type subalgebras of Kac-Moody algebras
• Differentiable vectors and analytic vectors in completions of certain representation spaces of a Kac-Moody algebra

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