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The work of Vladimir Morozov on Lie algebras

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Abstract

We survey the works of V. V. Morozov on Lie algebras concentrating on the following three results on subalgebras of a semisimple complex Lie algebra: the theorem on a nilpotent element, the triangulizability theorem for solvable subalgebras, and the regularity theorem for nonsemisimple maximal subalgebras.

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Authors and Affiliations

  1. Institute for Information, Transmission Problems, R.A.S., Bolshoy Karetny per. 19, Moscow, 127994, Russia

    Dmitri I. Panyushev

  2. Mekhmat Faculty (Algebra), Moscow State University, Vorob’evy Gory, Moscow, 119992 GSP-2, Russia

    Ernest B. Vinberg

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  1. Dmitri I. Panyushev
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  2. Ernest B. Vinberg
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Correspondence to Dmitri I. Panyushev.

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Panyushev, D.I., Vinberg, E.B. The work of Vladimir Morozov on Lie algebras. Transformation Groups 15, 1001–1013 (2010). https://doi.org/10.1007/s00031-010-9097-2

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