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Transactions of the American Mathematical Society

ISSN 1088-6850(online) ISSN 0002-9947(print)

 
 

 

Differential algebraic Lie algebras


Author: Phyllis Joan Cassidy
Journal: Trans. Amer. Math. Soc. 247 (1979), 247-273
MSC: Primary 12H05; Secondary 17B65
DOI: https://doi.org/10.1090/S0002-9947-1979-0517694-6
MathSciNet review: 517694
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Abstract: A class of infinite-dimensional Lie algebras over the field $\mathcal {K}$ of constants of a universal differential field $\mathcal {U}$ is studied. The simplest case, defined by homogeneous linear differential equations, is analyzed in detail, and those with underlying set $\mathcal {U} \times \mathcal {U}$ are classified.


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Keywords: Differential algebraic Lie algebra, nilpotent and solvable Lie algebras, formal differential group
Article copyright: © Copyright 1979 American Mathematical Society