Differential algebraic groups
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The lectures will attempt to describe the general theory of differential algebraic groups that has been developed in recent years in analogy with and as a generalization of the older theory of algebraic 0rou9s. Limitations of time "make it necessary to omit a number of topics and to give broad descriptions instead of proofs. I have qiven Professor Tuan at least one copy of each of several references, and I hope that these can be consulted by anyone interested in any of the details. The main reference is the manuscript of my forthcoming book [8]; two earlier works that may prove helpful on occasion are my 1973 book [6] and my paoer [7]. Also included are reprints of five papers by P.J. Cassidy [15], one paper by J. Kovacic [9], and one paper by W.Y. Sit [10], all bearing on results in the theory that I shall not have time to describe. These lectures are intended as a selective survey of the subject.
[1] E. R. Kolchin. Constrained extensions of differential fields , 1974 .
[2] Phyllis J. Cassidy,et al. Differential algebraic groups , 1972 .
[3] William Sit. Differential Algebraic Subgroups of SL(2) and Strong Normality in Simple Extensions , 1975 .
[4] P. Cassidy. Differential algebraic Lie algebras , 1979 .
[5] P. Cassidy. The differential rational representation algebra on a linear differential algebraic group , 1975 .