Categories of Symmetries and Infinite-Dimensional Groups
Book Details
Format
Hardback or Cased Book
Book Series
London Mathematical Society Monographs
ISBN-10
0198511868
ISBN-13
9780198511861
Publisher
Oxford University Press
Imprint
Oxford University Press
Country of Manufacture
GB
Country of Publication
GB
Publication Date
Jul 11th, 1996
Print length
432 Pages
Weight
756 grams
Dimensions
24.10 x 16.30 x 2.80 cms
Product Classification:
Groups & group theoryAlgebraic geometry
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This work contains the first explicit construction of hidden structures (mantles and trains). The author shows how many infinite-dimensional groups are in fact only a small part of a much larger object, analogous to the way real numbers are embedded within complex numbers.
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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