Overview

For mathematicians working in group theory, the study of the many infinite-dimensional groups has been carried out in an individual and non-coherent way. For the first time, these apparently disparate groups have been placed together, in order to construct the `big picture'. This book successfully gives an account of this - and shows how such seemingly dissimilar types such as the various groups of operators on Hilbert spaces, or current groups are shown to belong to a bigger entitity. This is a ground-breaking text will be important reading for advanced undergraduate and graduate mathematicians.

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9780198511861

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Neretin's monograph is written in a colloquial style which sometimes reads more like the transcript of a good seminar, with numerous digressions and fascinating asides. His unconventional approach is apparent from the outset... the writing is clear. Bulletin of the London Mathematical Society

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