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Proceedings of the American Mathematical Society
Proceedings of the American Mathematical Society
ISSN 1088-6826(online) ISSN 0002-9939(print)

 

On simple reducible Lie algebras of depth two


Author: Thomas B. Gregory
Journal: Proc. Amer. Math. Soc. 83 (1981), 31-35
MSC: Primary 17B20; Secondary 17B70
MathSciNet review: 619975
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Abstract: We show that under certain circumstances simple finite-dimensional reducible graded Lie algebras of the form $ {L_{ - 2}} \oplus {L_{ - 1}} \oplus {L_0} \oplus {L_1} \oplus \cdots \oplus {L_k}$ can be given irreducible transitive gradations of the form $ {M_{ - 1}} \oplus {M_0} \oplus \cdots \oplus {M_{[k/2]}}$.


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Additional Information

DOI: http://dx.doi.org/10.1090/S0002-9939-1981-0619975-9
PII: S 0002-9939(1981)0619975-9
Article copyright: © Copyright 1981 American Mathematical Society



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