Coverings of generalized Chevalley groups associated with affine Lie algebras

DOI10.21099/tkbjm/1496159444zbMath0524.20026OpenAlexW1550947025WikidataQ115233631 ScholiaQ115233631MaRDI QIDQ585364

Jun Morita

Publication date: 1982

Published in: Tsukuba Journal of Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.21099/tkbjm/1496159444

zbMATH Keywords

affine Lie algebrasChevalley groupsSteinberg groupsSteinberg symbolsuniversal central extensionextended Cartan matrixreduced root systemsimply connected Chevalley- Demazure group scheme

Mathematics Subject Classification ID

Generators, relations, and presentations of groups (20F05) Infinite-dimensional Lie (super)algebras (17B65) Infinite-dimensional Lie groups and their Lie algebras: general properties (22E65) Group schemes (14L15) Linear algebraic groups over adèles and other rings and schemes (20G35)

Related Items (3)

Groups defined by extended affine Lie algebras with nullity 2 ⋮ \(K_ 2\text{SL}_ 2\) of Euclidean domains, generalized Dennis-Stein symbols and a certain three-unit formula ⋮ Some Tits systems with affine Weyl groups in Chevalley groups over Dedekind domains

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