IRREDUCIBLE REPRESENTATIONS OF STRONGLY SOLVABLE LIE ALGEBRAS OVER A FIELD OF POSITIVE CHARACTERISTIC

DOI10.1070/SM1985V051N01ABEH002855zbMath0569.17004OpenAlexW1997437714MaRDI QIDQ3686858

A. S. Dzhumadil'daev

Publication date: 1985

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

Full work available at URL: https://doi.org/10.1070/sm1985v051n01abeh002855

zbMATH Keywords

derivationsirreducible representationsrestricted Lie algebraZassenhaus algebramaximal subalgebraprime characteristicnumber of nonisomorphic representationsstrongly solvable Lie algebrap-hull of minimal dimension

Mathematics Subject Classification ID

Representations of Lie algebras and Lie superalgebras, algebraic theory (weights) (17B10) Solvable, nilpotent (super)algebras (17B30) Modular Lie (super)algebras (17B50)

Related Items (3)

The first Hochschild cohomology as a Lie algebra ⋮ On the Lie algebra structure of 𝐻𝐻¹(𝐴) of a finite-dimensional algebra 𝐴 ⋮ On the number of simple modules of a supersolvable restricted Lie algebra

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