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Representations of finitary Lie algebras

✍ Scribed by H. Strade

Publisher
Elsevier Science
Year
2002
Tongue
English
Weight
201 KB
Volume
257
Category
Article
ISSN
0021-8693

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✦ Synopsis

Let F be an algebraically closed field of characteristic = 2, 3, W a F -vector space and

The faithful irreducible L-modules are determined. It is shown that L has minimal ideals. If a minimal ideal S is infinite-dimensional then SW is a completely reducible L-module. Suppose L ∩ fgl(W ) = (0), W is L-irreducible and char(F ) > 3. Then L is classified in terms of L ∩ fgl(W ).

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