Symmetries of special 2-flags

Piotr Mormul and Fernand Pelletier

Journal of Singularities
volume 21 (2020), 187-204

Received: 30 April 2018. Received in revised form: 14 November 2018.

DOI: 10.5427/jsing.2020.21k

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Abstract:

Derived are recursive relations describing for the first time all infinitesimal symmetries of special 2-flags (sometimes also misleadingly called `Goursat 2-flags'). When algorithmized to the software level, they will give an answer filling in the gap in knowledge as of 2010: on one side the local finite classification of special 2-flags known in lengths not exceeding four, on the other side the existence of a continuous numerical modulus of that classification in length seven.


Author(s) information:

Piotr Mormul Fernand Pelletier
Institute of Mathematics Université de Savoie Mont Blanc (LAMA)
University of Warsaw 73370 Le Bourget-du-Lac
Banach str. 2 France
02-097 Warsaw, Poland
email: mormul@mimuw.edu.pl email: fernand.pelletier@univ-smb.fr