In 1953 he created the Elie Cartan Institute at Nancy which, to a certain extent, was modelled on the Henri Poincaré Institute in Paris. Delsarte's involvement with Bourbaki, and the continual appearance of members of Bourbaki at the Institute, led to widespread belief that the Elie Cartan Institute was the Bourbaki group.
Sa 1953 niya ginawa ang Elie Cartan Institute at Nancy na, sa isang tiyak na lawak, ay tularan sa Henri Poincaré Institute sa Paris. Delsarte ng paglahok sa Bourbaki, at ang patuloy na hitsura ng mga miyembro ng Bourbaki sa Institute, na humantong sa malawakang paniniwala na ang Elie Cartan Institute ay ang Bourbaki grupo.