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Finite-Dimensional Simple Lie Algebras with a Nonsingular Derivation

โœ Scribed by G. Benkart; A.I. Kostrikin; M.I. Kuznetsov

Publisher
Elsevier Science
Year
1995
Tongue
English
Weight
848 KB
Volume
171
Category
Article
ISSN
0021-8693

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โœฆ Synopsis

We consider the known finite-dimensional simple Lie algebras of characteristic (p>3) and determine all finite-dimensional simple Lie algebras over an algebraically closed field of characteristic (p>7) admitting a nonsingular derivation. We also show that the (\left.\mathbb{Z} \wedge p^{n}-1\right) \mathbb{Z})-graded simple Lie algebras which admit a nonsingular derivation must be of Hamiltonian type. 1945 Academic Press, Inc.

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