On Cartan Invariants and Blocks of Zassenhaus Algebras # |
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| Authors: | Bin Shu Zhihong Jiang |
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| Institution: | 1. Department of Mathematics , East China Normal University , Shanghai, China bshu@math.ecnu.edu.cn;3. Department of Applied Mathematics , Tongji University , Shanghai, China |
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| Abstract: | In this article, we determine the Cartan invariants for Zassenhaus algebras W(1,n). This is done by reducing representations of generalized restricted Cartan type Lie algebra W(1,n) to representations of restricted Lie algebras W(1,1) and of ± b𝔰 ± b𝔩(2), and then extending Feldvoss-Nakano's argument on W(1,1) to the case W(1,n). |
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| Keywords: | Generalized restricted Lie algebras Zassenhaus algebras (Cartan type Lie algebras) |
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