Groups associated with unitary forms of Kac-Moody algebras

DOI10.2969/jmsj/04010085zbMath0651.17010OpenAlexW2008163915MaRDI QIDQ1106308

Kiyokazu Suto

Publication date: 1988

Published in: Journal of the Mathematical Society of Japan (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.2969/jmsj/04010085

zbMATH Keywords

Kac-Moody algebrasexponential mapKac-Moody groupshighest weight modulegeneralized Cartan matrix

Mathematics Subject Classification ID

Kac-Moody (super)algebras; extended affine Lie algebras; toroidal Lie algebras (17B67) Infinite-dimensional Lie (super)algebras (17B65) Infinite-dimensional Lie groups and their Lie algebras: general properties (22E65) Group structures and generalizations on infinite-dimensional manifolds (58B25)

Related Items (3)

Differentiable vectors and analytic vectors in completions of certain representation spaces of a Kac-Moody algebra ⋮ Towards a Lie theory of locally convex groups ⋮ Groups associated with compact type subalgebras of Kac-Moody algebras

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