Differential algebraic Lie algebras
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- by Phyllis Joan Cassidy
- Trans. Amer. Math. Soc. 247 (1979), 247-273
- DOI: https://doi.org/10.1090/S0002-9947-1979-0517694-6
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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.References
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Bibliographic Information
- © Copyright 1979 American Mathematical Society
- 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