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.
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