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Infinite Dimensional Groups and Algebras in Quantum Physics (Paperback, Softcover reprint of the original 1st ed. 1995)
Loot Price: R1,487
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Infinite Dimensional Groups and Algebras in Quantum Physics (Paperback, Softcover reprint of the original 1st ed. 1995)
Series: Lecture Notes in Physics Monographs, 27
Expected to ship within 10 - 15 working days
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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.
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