Integrating Hasse–Schmidt derivations

• Daniel Hoffmann ^[1] ; Piotr Kowalsk ^[1]
  1. [1] University of Wrocław

     University of Wrocław

     Breslavia, Polonia

     
• Localización: Journal of pure and applied algebra, ISSN 0022-4049, Vol. 219, Nº 4 ((April 2015) ), 2015, págs. 875-896
• Idioma: inglés
• DOI: 10.1016/j.jpaa.2014.05.024
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• Resumen

  • We study integrating (that is expanding to a Hasse–Schmidt derivation) derivations, and more generally truncated Hasse–Schmidt derivations, satisfying iterativity conditions given by formal group laws. Our results concern the cases of the additive and the multiplicative group laws. We generalize a theorem of Matsumura about integrating nilpotent derivations (such a generalization is implicit in work of Ziegler) and we also generalize a theorem of Tyc about integrating idempotent derivations.