Triangular $G_{a}$ actions on $\mathbf {C}^{4}$
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- by James K. Deveney, David R. Finston and Peter van Rossum
- Proc. Amer. Math. Soc. 132 (2004), 2841-2848
- DOI: https://doi.org/10.1090/S0002-9939-04-07500-8
- Published electronically: June 2, 2004
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Abstract:
Every locally trivial action of the additive group of complex numbers on four-dimensional complex affine space that is given by a triangular derivation is conjugate to a translation. A criterion for a proper action on complex affine $n$-space to be locally trivial is given, along with an example showing that the hypotheses of the criterion are sharp.References
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Bibliographic Information
- James K. Deveney
- Affiliation: Department of Mathematical Sciences, Virginia Commonwealth University, 1015 W. Main St., Richmond, Virginia 23284
- Email: jdeveney@atlas.vcu.edu
- David R. Finston
- Affiliation: Department of Mathematical Sciences, New Mexico State University, Las Cruces, New Mexico 88003
- Email: dfinston@nmsu.edu
- Peter van Rossum
- Affiliation: Department of Mathematical Sciences, New Mexico State University, Las Cruces, New Mexico 88003
- Email: petervr@nmsu.edu
- Received by editor(s): July 25, 2002
- Published electronically: June 2, 2004
- Communicated by: Bernd Ulrich
- © Copyright 2004 American Mathematical Society
- Journal: Proc. Amer. Math. Soc. 132 (2004), 2841-2848
- MSC (2000): Primary 14L30; Secondary 20G20
- DOI: https://doi.org/10.1090/S0002-9939-04-07500-8
- MathSciNet review: 2063101