Open AccessTriangular 𝐺ₐ actions on 𝐂⁴
Author(s) -
James K. Deveney,
David R. Finston,
Peter van Rossum
Publication year - 2004
Publication title -
proceedings of the american mathematical society
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.968
H-Index - 84
eISSN - 1088-6826
pISSN - 0002-9939
DOI - 10.1090/s0002-9939-04-07500-8
Subject(s) - affine transformation , annotation , translation (biology) , space (punctuation) , semantics (computer science) , type (biology) , conjugate , mathematics , computer science , action (physics) , algorithm , algebra over a field , pure mathematics , artificial intelligence , programming language , mathematical analysis , ecology , biochemistry , chemistry , physics , quantum mechanics , biology , messenger rna , gene , operating system
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 n -space to be locally trivial is given, along with an example showing that the hypotheses of the criterion are sharp.