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Differential algebraic groups

Part of the Lecture Notes in Mathematics book series (LNM,volume 1185)

Keywords

  • Algebraic Group
  • Logarithmic Derivation
  • Differential Algebra
  • Connected Subgroup
  • Ascend Chain Condition

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References

  1. P.J. Cassidy. Differential algebraic groups, Amer. J. Math. 94 (1972), 891–954.

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  2. P.J. Cassidy. The differential rational representation algebra on a linear differential algebraic group, J. Algebra 37(1975), 222–238.

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  3. P.J. Cassidy. Unipotent differential algebraic groups, in "Contributions to Algebra" (H. Bass, P.J. Cassidy, and J. Kovacic, eds.), Academic Press, New York, 1977, pp. 83–115.

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  4. P.J. Cassidy. Differential algebraic Lie algebras, Trans. Amer. Math. Soc. 247(1979), 247–273.

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  5. P.J. Cassidy. Differential algebraic group structures on the plane, Proc. Amer. Math. Soc. 80 (1980), 210–214.

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  6. E.R. Kolchin. "Differential Algebra and Algebraic Groups." Academic Press, New York, 1973.

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  7. E.R. Kolchin. Constrained extensions of differential fields, Adv. in Math. 12(1974), 141–170.

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  8. E.R. Kolchin. "Differential Algebraic Groups." Academic Press, Orlando, 1985.

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  9. J. Kovacic. Constrained cohomology, in "Contributions to Algebra" (H. Bass, P.J. Cassidy, and J. Kovacic, eds.), Academic Press, New York, 1977, pp. 251–266.

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  10. W.Y. Sit. Differential algebraic subgroups of SL(2) and strong normality in simple extensions, Amer. J. Math. 97 (1975), 627–695.

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© 1986 Springer-Verlag

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Kolchin, E.R. (1986). Differential algebraic groups. In: Tuan, HF. (eds) Group Theory, Beijing 1984. Lecture Notes in Mathematics, vol 1185. Springer, Berlin, Heidelberg. https://doi.org/10.1007/BFb0076174

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  • DOI: https://doi.org/10.1007/BFb0076174

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  • Publisher Name: Springer, Berlin, Heidelberg

  • Print ISBN: 978-3-540-16456-2

  • Online ISBN: 978-3-540-39793-9

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