Infinite Dimensional Groups and Algebras in Quantum Physics
Seiten
2013
|
1. Softcover reprint of the original 1st ed. 1995
Springer Berlin (Verlag)
978-3-662-14053-6 (ISBN)
Springer Berlin (Verlag)
978-3-662-14053-6 (ISBN)
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.
On the basis of classical representation theory and basic facts of functional analysis the author contructs the spin representations of the infinitesimal orthogonal group and the metaplectic representation of an infinite-dimensional symplectic group in a constructive novel approach. The text addresses graduate students and researchers.
The Spin Representation of the Infinite-Dimensional Orthogonal Group.- The Metaplectic Representation of the Infinite-Dimensional Symplectic Group.- Loop Algebras and the Virasoro Algebra.- Applications.
| Erscheint lt. Verlag | 13.11.2013 |
|---|---|
| Reihe/Serie | Lecture Notes in Physics Monographs |
| Zusatzinfo | IX, 218 p. |
| Verlagsort | Berlin |
| Sprache | englisch |
| Maße | 155 x 235 mm |
| Gewicht | 332 g |
| Themenwelt | Naturwissenschaften ► Physik / Astronomie ► Festkörperphysik |
| Naturwissenschaften ► Physik / Astronomie ► Quantenphysik | |
| Naturwissenschaften ► Physik / Astronomie ► Theoretische Physik | |
| Technik ► Maschinenbau | |
| Schlagworte | conformal field theory • Quantum Physics • String Theory |
| ISBN-10 | 3-662-14053-5 / 3662140535 |
| ISBN-13 | 978-3-662-14053-6 / 9783662140536 |
| Zustand | Neuware |
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