Local systems in simple finitary lie algebras |
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| Authors: | Felix Leinen |
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| Affiliation: | Department of Mathematics , University of Newcastle , Newcastle upon Tyne, NE1 7RU, England E-mail: F.A.Leinen@ncl.ac.uk |
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| Abstract: | A Lie subalgebra L of glk(V) is said to be finitary if it consists of elements of finite rank. We show that every simple finitary Lie algebra over a field of characteristic ≠2, 3, 5, 7 has a local system consisting of perfect central extensions of finite-dimensional simple Lie algebras. |
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