Categories of Symmetries and Infinite-dimensional Groups

Download or read book Categories of Symmetries and Infinite-dimensional Groups written by Yu. A. Neretin and published by Oxford University Press. This book was released on 1996 with total page 436 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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.