This textbook covers the general theory of Lie groups. By first considering the case of linear
groups (following von Neumann's method) before proceeding to the general case the reader is
naturally introduced to Lie theory. Written by a master of the subject and influential member
of the Bourbaki group the French edition of this textbook has been used by several generations
of students. This translation preserves the distinctive style and lively exposition of the
original. Requiring only basics of topology and algebra this book offers an engaging
introduction to Lie groups for graduate students and a valuable resource for researchers.
