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

DOI10.3792/PJAA.63.225zbMath0625.17011OpenAlexW1979916681MaRDI QIDQ5893761

Kiyokazu Suto

Publication date: 1987

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.63.225

zbMATH Keywords

exponential maphighest weightanalytic vectorsdifferentiable vectorsdominant integral elementgeneralized Cartan matrixKac- Moody algebra

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)

Related Items (1)

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

Cites Work

• Unnamed Item
• Unitary structure in representations of infinite-dimensional groups and a convexity theorem
• Groups associated with unitary forms of Kac-Moody algebras
• Groups associated with compact type subalgebras of Kac-Moody algebras

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