REGULAR CARTAN SUBALGEBRAS AND NILPOTENT ELEMENTS IN RESTRICTED LIE ALGEBRAS

DOI10.1070/SM1990v066n02ABEH002084zbMath0698.17008OpenAlexW2051982328MaRDI QIDQ3475442

Alexander Premet

Publication date: 1990

Published in: Mathematics of the USSR-Sbornik (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1070/sm1990v066n02abeh002084

zbMATH Keywords

restricted Lie algebrastoriCartan subalgebrasLie p-algebrasvariety of nilpotent elementsminimal p-polynomial

Mathematics Subject Classification ID

Structure theory for Lie algebras and superalgebras (17B05) Automorphisms, derivations, other operators for Lie algebras and super algebras (17B40) Solvable, nilpotent (super)algebras (17B30) Simple, semisimple, reductive (super)algebras (17B20) Modular Lie (super)algebras (17B50)

Related Items (12)

Simple Lie algebras of small characteristic. IV: Solvable and classical roots ⋮ Nilpotent orbits of certain simple Lie algebras over truncated polynomial rings ⋮ A modular analogue of Morozov's theorem on maximal subalgebras of simple Lie algebras ⋮ Generic Property and Conjugacy Classes of Homogeneous Borel Subalgebras of Restricted Lie Algebras of Cartan Type (I): Type W ⋮ Adjoint quotient maps for the restricted Lie algebrasW_nandS_n ⋮ On \(\mathbb F_q\)-rational structure of nilpotent orbits in the Witt algebra ⋮ Simple Lie algebras of small characteristic. V: The non-Melikian case ⋮ Simple Lie algebras of small characteristic. VI: Completion of the classification ⋮ On the center and semi-center of enveloping algebras in prime characteristic ⋮ Borel subalgebras of the Witt algebra ⋮ Weyl groups for non-classical restricted Lie algebras and the Chevalley restriction theorem ⋮ Invariant polynomial functions on the Poisson algebra in characteristic \(p\).

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