A Matsumoto-type theorem for Kac-Moody groups

DOI10.2748/tmj/1178227573zbMath0701.19001OpenAlexW2043567612MaRDI QIDQ913944

Jun Morita, Ulf Rehmann

Publication date: 1990

Published in: Tôhoku Mathematical Journal. Second Series (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.2748/tmj/1178227573

zbMATH Keywords

Schur multipliercentral group extensionspresentation of the \(K_ 2\) group associated with a Kac-Moody group over a fielduniversal central extension of a Kac-Moody group over an infinite field

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) Symbols, presentations and stability of (K_2) (19C20) Central extensions and Schur multipliers (19C09)

Related Items

Groups defined by extended affine Lie algebras with nullity 2 ⋮ Curtis-Tits groups of simply-laced type ⋮ A note on \(K_{2}\) of Kac-Moody groups over a field ⋮ Presentation of hyperbolic Kac-Moody groups over rings. ⋮ Property (\(T\)) for Kac-Moody groups over rings ⋮ Simple Kac-Moody groups with trivial Schur multipliers ⋮ Abstract simplicity of complete Kac-Moody groups over finite fields. ⋮ On multicommutators for simple algebraic groups ⋮ Kac-moody groups over fields with trivial K₂ ⋮ Symplectic \(K_ 2\) of Laurent polynomials, associated Kac-Moody groups and Witt rings ⋮ \(K_{2}\) of Kac-Moody groups

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