Algebraic groups and Lie groups with few factors.

DOI10.1007/978-3-540-78584-2zbMath1176.20050OpenAlexW2288572514MaRDI QIDQ2482897

Peter Plaumann, Giovanni Falcone, Alfonso Di Bartolo, Karl Strambach

Publication date: 25 April 2008

Published in: Lecture Notes in Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/978-3-540-78584-2

zbMATH Keywords

algebraic groupsunipotent groupsnilpotent groupsaffine groupschains of subgroupsHamiltonian groupsreal Lie groupscomplex Lie groups

Mathematics Subject Classification ID

Linear algebraic groups over arbitrary fields (20G15) Chains and lattices of subgroups, subnormal subgroups (20E15) General properties and structure of complex Lie groups (22E10) General properties and structure of real Lie groups (22E15) Lie algebras of linear algebraic groups (17B45) Research exposition (monographs, survey articles) pertaining to topological groups (22-02) Research exposition (monographs, survey articles) pertaining to group theory (20-02) Affine algebraic groups, hyperalgebra constructions (14L17)

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Derivations of the \((n,2,1)\)-nilpotent Lie algebra ⋮ Our friend and mathematician Karl Strambach ⋮ On liftings of projective indecomposable \(G_{(1)}\)-modules ⋮ Locally compact (2, 2)-transformation groups ⋮ Algebraic groups whose orbit closures contain only finitely many orbits ⋮ Strong subgroup commutativity degree and some recent problems on the commuting probabilities of elements and subgroups

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