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Generalized Restricted Lie Algebras and Representations of the Zassenhaus Algebra

✍ Scribed by Bin Shu

Publisher
Elsevier Science
Year
1998
Tongue
English
Weight
309 KB
Volume
204
Category
Article
ISSN
0021-8693

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✦ Synopsis

Let F be a field of characteristic p ) 0, L a generalized restricted Lie algebra Ε½ . over F, and P L the primitive p-envelope of L. A close relation between Ε½ . L-representations and P L -representations is established. In particular, the irreducible -reduced modules of L for any g L* coincide with the irreducible Ε½ .

Ε½ . -reduced modules of P L , where g P L * is a trivial extension of . From 0 0 this result, the determination of all irreducible representations of the Zassenhaus algebra is completed, and the dimensions of the corresponding modules are also given.

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