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Infinite-dimensional Lie Groups. General Theory and Main Examples
von Helge Glöckner und Karl-Hermann NeebProvides a comprehensive introduction to this important subject, examining the basic structure theory of infinite-dimensional Lie groups
Essentially self-contained, provides all necessary background, excepting modest prerequisites
Clear exposition includes careful explanations, illustrative examples, numerous exercises, and detailed cross-references to simplify a non-linear reading of the material