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Irreducible representations of maximal subalgebras of Lie algebras of Cartan type. (English. Russian original) Zbl 0621.17011
Sov. Math. 30, No. 11, 33-41 (1986); translation from Izv. Vyssh. Uchebn. Zaved., Mat. 1986, No. 11(294), 26-32 (1986).
This paper together with previous papers of the author [VINITI (Moscow). Deposit Nos. 376/82, 377/82, 213/83] gives a description of irreducible representations of Cartan type Lie p-algebras $$(p>2)$$ belonging to the series $$W_ n$$ (Witt), $$S_ n$$ (special), $$H_ n$$ (Hamiltonian). Some information on automorphisms of these algebras is mentioned.
Reviewer: Yu.N.Mukhin
##### MSC:
 17B50 Modular Lie (super)algebras 17B10 Representations of Lie algebras and Lie superalgebras, algebraic theory (weights) 17B05 Structure theory for Lie algebras and superalgebras 17B67 Kac-Moody (super)algebras; extended affine Lie algebras; toroidal Lie algebras 17B40 Automorphisms, derivations, other operators for Lie algebras and super algebras