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Original Articles

AUTOMORPHISMS OF EXCEPTIONAL SIMPLE LIE ALGEBRAS

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Pages 3919-3934 | Received 01 Feb 2001, Published online: 01 Feb 2007
 

Abstract

The scheme describing automorphisms of exceptional simple Lie algebras possessing geometrical realization over an algebraically closed field of characteristic p < 7 is proposed. In particular, automorphisms of Melikyan algebras g(m 1, m 2) (p = 5) and Skryabin algebras Y(m 1, m 2, m 3) (p = 3) are found.

ACKNOWLEDGMENTS

The authors are very grateful to Serge Skryabin for sending them the text of his paper on tori in Melikyan algebra which contains the description of automorphisms of g(1,1). The authors were supported by Russian Foundation of Basic Research, Grant 99-01-00398.

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