Infinite-Dimensional Lie Groups (Translations of Mathematical Monographs, Book 158) by Hideki Omori
English | 1996 | ISBN: 0821845756 | ISBN-13: 9780821845752 | 415 pages | DJVU | 4,1 MB
This book develops, from the viewpoint of abstract group theory, a general theory of infinite-dimensional Lie groups involving the implicit function theorem and the Frobenius theorem. Omori treats as infinite-dimensional Lie groups all the real, primitive, infinite transformation groups studied by E. Cartan.