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Overview"The idea of writing this book appeared when I was working on some problems related to representations of physically relevant infinite - mensional groups of operators on physically relevant Hilbert spaces. The considerations were local, reducing the subject to dealing with representations of infinite-dimensional Lie algebras associated with the associated groups. There is a large number of specialized articles and books on parts of this subject, but to our suprise only a few represent the point of view given in this book. Moreover, none of the written material was self-contained. At present, the subject has not reached its final form and active research is still being undertaken. I present this subject of growing importance in a unified manner and by a fairly simple approach. I present a route by which students can absorb and understand the subject, only assuming that the reader is familliar with functional analysis, especially bounded and unbounded operators on Hilbert spaces. Moreover, I assume a little basic knowledge of algebras , Lie algebras, Lie groups, and manifolds- at least the definitions. The contents are presented in detail in the introduction in Chap. The manuscript of this book has been succesfully used by some advanced graduate students at Aarhus University, Denmark, in their ""A-exame'. I thank them for comments." Full Product DetailsAuthor: Johnny T. OttesenPublisher: Springer-Verlag Berlin and Heidelberg GmbH & Co. KG Imprint: Springer-Verlag Berlin and Heidelberg GmbH & Co. K Edition: Softcover reprint of the original 1st ed. 1995 Volume: 27 Dimensions: Width: 15.50cm , Height: 1.20cm , Length: 23.50cm Weight: 0.361kg ISBN: 9783662140536ISBN 10: 3662140535 Pages: 218 Publication Date: 13 November 2013 Audience: Professional and scholarly , Professional & Vocational Format: Paperback Publisher's Status: Active Availability: Manufactured on demand  We will order this item for you from a manufactured on demand supplier. Table of ContentsThe Spin Representation of the Infinite—Dimensional Orthogonal Group.- The Metaplectic Representation of the Infinite-Dimensional Symplectic Group.- Loop Algebras and the Virasoro Algebra.- Applications.ReviewsAuthor InformationTab Content 6Author Website:Countries AvailableAll regions |
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