Tits' systems in Chevalley groups over Laurent polynomial rings

DOI10.21099/tkbjm/1496158687zbMath0475.17005OpenAlexW204673846MaRDI QIDQ1159750

Jun Morita

Publication date: 1979

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

Full work available at URL: https://doi.org/10.21099/tkbjm/1496158687

zbMATH Keywords

Kac-Moody Lie algebraaffine Weyl groupEuclidean typeLaurent polynomial ringsclassical Lie algebraselementary subgroup of Chevalley grouptier numberTits' system

Mathematics Subject Classification ID

Structure theory for Lie algebras and superalgebras (17B05) Infinite-dimensional Lie (super)algebras (17B65) Simple, semisimple, reductive (super)algebras (17B20) Linear algebraic groups over adèles and other rings and schemes (20G35)

Related Items (5)

Universal central extensions of linear groups over rings of non-commutative Laurent polynomials, associated \(K_1\)-groups and \(K_2\)-groups ⋮ Groups defined by extended affine Lie algebras with nullity 2 ⋮ On representations of affine Kac-Moody groups and related loop groups ⋮ Chevalley groups associated to elliptic Lie algebras ⋮ Some Tits systems with affine Weyl groups in Chevalley groups over Dedekind domains

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