The AMS website will be down for maintenance on May 23 between 6:00am - 8:00am EDT. For questions please contact AMS Customer Service at or (800) 321-4267 (U.S. & Canada), (401) 455-4000 (Worldwide).


Remote Access Transactions of the American Mathematical Society
Green Open Access

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
MathSciNet review: 517694
Full-text PDF

Abstract | References | Similar Articles | Additional Information

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 [Enhancements On Off] (What's this?)

Similar Articles

Retrieve articles in Transactions of the American Mathematical Society with MSC: 12H05, 17B65

Retrieve articles in all journals with MSC: 12H05, 17B65

Additional Information

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

American Mathematical Society