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학술저널

Lie Algebras with an 1-filtrations

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Let L be a Lie algebra over an algebraically closed field F of chracteristic p > 0 which has an 1-filtration. We prove that W (1; 1) is the only restricted simple Lie algebra having an 1-filtration. And we show that the even dimensional Lie algebra can not have an 1-filtration.

ABSTRACT

0. Introduction

1. Filtered Lie Algebras

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