caa a22 4500 445869240 CHVBK 20180317145506.0 cr unu---uuuuu 170323e20110201xx s 000 0 eng 10.1007/s00605-009-0170-7 doi (NATIONALLICENCE)springer-10.1007/s00605-009-0170-7 Algebraic prolongation and rigidity of Carnot groups [Elektronische Daten] [Alessandro Ottazzi, Ben Warhurst] We discuss the known results on rigidity of Carnot groups using Tanaka's prolongation theory. We also apply Tanaka's theory to study rigidity of an extended class of H-type groups which we call J-type groups. In particular we obtain a rigidity criterion giving rise to a rigid class of J-type groups which includes the H-type groups, and thus extends the results of H.M. Reimann. We also construct a noncomplex J-type group which is nonrigid and does not satisfy the rank 1 condition over the reals. Springer-Verlag, 2009 Carnot group nationallicence H-type group nationallicence Fundamental graded algebra nationallicence Prolongation nationallicence Contact map nationallicence Differential system nationallicence Ottazzi Alessandro Università di Milano Bicocca, 20126, Milan, Italy aut Warhurst Ben School of Mathematics, University of New South Wales, 2052, Sydney, NSW, Australia aut Monatshefte für Mathematik Springer Vienna 162/2(2011-02-01), 179-195 0026-9255 162:2<179 2011 162 605 https://doi.org/10.1007/s00605-009-0170-7 text/html Onlinezugriff via DOI 1 research-article jats NATIONALLICENCE 856 40 https://doi.org/10.1007/s00605-009-0170-7 text/html Onlinezugriff via DOI NATIONALLICENCE 700 1- Ottazzi Alessandro Università di Milano Bicocca, 20126, Milan, Italy aut NATIONALLICENCE 700 1- Warhurst Ben School of Mathematics, University of New South Wales, 2052, Sydney, NSW, Australia aut NATIONALLICENCE 773 0- Monatshefte für Mathematik Springer Vienna 162/2(2011-02-01), 179-195 0026-9255 162:2<179 2011 162 605 Metadata rights reserved Springer special CC-BY-NC licence nationallicence BK010053 XK010053 XK010000 NATIONALLICENCE NATIONALLICENCE NL-springer