Quadratic differential equations in graded algebras
Authors:
Nora C. Hopkins and Michael K. Kinyon
Journal:
Trans. Amer. Math. Soc. 351 (1999), 45454559
MSC (1991):
Primary 34C35, 17A60, 34C20, 17A36
Published electronically:
July 19, 1999
MathSciNet review:
1475685
Fulltext PDF Free Access
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References 
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Abstract: Quadratic differential equations whose associated algebra has an automorphism of order two are studied. Under hypotheses that naturally generalize the cases where the even or odd part of the algebra is one dimensional, the following are examined: structure theory of the associated algebra (ideal structure, simplicity, solvability, and nilpotence), derivations and first integrals, trajectories given by derivations, and Floquet decompositions.
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Additional Information
Nora C. Hopkins
Affiliation:
Department of Mathematics and Computer Science, Indiana State University, Terre Haute, Indiana 47809
Email:
hopkins@laurel.indstate.edu
Michael K. Kinyon
Affiliation:
Department of Mathematics and Computer Science, Indiana University South Bend, South Bend, Indiana 46634
Email:
mkinyon@iusb.edu
DOI:
http://dx.doi.org/10.1090/S0002994799022126
PII:
S 00029947(99)022126
Received by editor(s):
October 1, 1996
Received by editor(s) in revised form:
June 2, 1997
Published electronically:
July 19, 1999
Article copyright:
© Copyright 1999
American Mathematical Society
