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Restricted Lie algebras of maximal class

Published online by Cambridge University Press:  17 April 2009

D.M. Riley
D.M. Riley
Affiliation:
Department of Mathematics, The University of Alabama, Tuscaloosa AL 35487-0350, United States of America
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Abstract

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Let L be a possibly infinite-dimensional Lie algebra of maximal class. We show that if L admits the structure of a Lie p-algebra then the dimension of L can be at most p + 1. Furthermore, this bound is best possible.

Type
Research Article
Information
Bulletin of the Australian Mathematical Society , Volume 59 , Issue 2 , April 1999 , pp. 217 - 223
Copyright
Copyright © Australian Mathematical Society 1999

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