Does anyone know who was the first to coin the term "Lie group"?
The following thesis from 1928 suggests that the term was already in use by that time: "Systems of Two Differential Equations from the Lie-Group Standpoint"
(http://genealogy.math.ndsu.nodak.edu/id.php?id=6129)
I've also found the term in the book "Theory of functionals and of integral and integro-differential equations" by Vito Volterra from 1930.
Does anyone have any idea when the term was first used? Someone suggested that Weyl or Brauer might have been the first to use the term, but I haven't found anything.
Best Answer
(Just to get this off the un-answered list, I'm copying Qiaochu's comment as an answer.)
http://jeff560.tripod.com/l.html suggests it is 1891, in the paper "Sur une application des groupes de M. Lie" by L. Autonne, with first English language appearance in 1897 with an article by Lovett.