Buch, Englisch, Band 16, 432 Seiten, Format (B × H): 161 mm x 240 mm, Gewicht: 816 g
Buch, Englisch, Band 16, 432 Seiten, Format (B × H): 161 mm x 240 mm, Gewicht: 816 g
Reihe: London Mathematical Society Monographs
ISBN: 978-0-19-851186-1
Verlag: OUP Oxford
There are many types of infinite-dimensional groups, and these have largely been studied separately since the 1950s. It is now possible to fit these apparently disparate groups into one coherent picture. With the first explicit construction of hidden structures (mantles and trains), Neretin is able to show 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.
