Rudakov, A. N.; Shafarevich, I. R. Irreducible representations of a simple three-dimensional Lie algebra over a field of finite characteristic. (English. Russian original) Zbl 0184.06002 Math. Notes 2, No. 5, 760-767 (1967); translation from Mat. Zametki 2, No. 5, 439-454 (1967). Summary: The irreducible representations of a simple three-dimensional Lie algebra over a field of finite characteristic are enumerated. The dimensionalities of all representations do not exceed the characteristics \(p\) of the base field. For any dimensionality \(< p\) there exists a unique representation of this dimensionality. The representations of dimensionality \(p\) form a three-dimensional algebraic set. Six literature references are cited. Page: −5 −4 −3 −2 −1 ±0 +1 +2 +3 +4 +5 Show Scanned Page Cited in 1 ReviewCited in 19 Documents MSC: 17B50 Modular Lie (super)algebras 17B10 Representations of Lie algebras and Lie superalgebras, algebraic theory (weights) PDFBibTeX XMLCite \textit{A. N. Rudakov} and \textit{I. R. Shafarevich}, Mat. Zametki 2, 439--454 (1967; Zbl 0184.06002); translation from Mat. Zametki 2, No. 5, 439--454 (1967) Full Text: DOI MNR