The problem of classifying the finite dimensional simple Lie algebras over fields of characteristic p › 0 is a long standing one. Work on this question has been directed by the Kostrikin Shafarevich Conjecture of 1966, which states that over an algebraically closed field of char…
The problem of classifying the finite dimensional simple Lie algebras over fields of characteristic p : 0 is a long standing one. Work on this question has been directed by the Kostrikin Shafarevich Conjecture of 1966, which states that over an algebraically closed field of char…
Contents -- Introduction -- 1. Toral subalgebras in p-envelopes -- 1.1 p-envelopes -- 1.2 The absolute toral rank -- 1.3 Extended roots -- 1.4 Absolute toral ranks of parametrized families -- 1.5 Toral switching -- 2. Lie algebras of special derivations -- 2.1 Divided power mapp…
The problem of classifying the finite dimensional simple Lie algebras over fields of characteristic p › 0 is a long-standing one. Work on this question has been directed by the Kostrikin-Shafarevich Conjecture of 1966, which states that over an algebraically closed field of char…
The problem of classifying the finite dimensional simple Lie algebras over fields of characteristic p › 0 is a long-standing one. Work on this question has been directed by the Kostrikin-Shafarevich Conjecture of 1966, which states that over an algebraically closed field of char…
This book presents an introduction to the structure and representation theory of modular Lie algebras over fields of positive characteristic. It introduces the beginner to the theory of modular Lie algebras and is meant to be a reference text for researchers.