Groups associated with compact type subalgebras of Kac-Moody algebras

DOI10.3792/PJAA.62.392zbMath0617.22012OpenAlexW2090757848MaRDI QIDQ1821884

Kiyokazu Suto

Publication date: 1986

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.62.392

zbMATH Keywords

compact groupscompact type subalgebras of Kac-Moody algebrasgroups associated with Lie algebras

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) Group structures and generalizations on infinite-dimensional manifolds (58B25)

Related Items (2)

Exponentials of certain completions of the unitary form of a Kac-Moody algebra ⋮ Differentiable vectors and analytic vectors in completions of certain representation spaces of a Kac-Moody algebra

Cites Work

• Unitary structure in representations of infinite-dimensional groups and a convexity theorem
• Infinite dimensional Lie algebras. An introduction
• Groups associated with unitary forms of Kac-Moody algebras
• Structure and unitary cocycle representations of loop groups and the group of diffeomorphisms of the circle.
• Infinite flag varieties and conjugacy theorems

This page was built for publication: Groups associated with compact type subalgebras of Kac-Moody algebras