| Spinors in Hilbert Space Contributor(s): Plymen, Roger (Author), Robinson, Paul (Author) |
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ISBN: 0521450225 ISBN-13: 9780521450225 Publisher: Cambridge University Press OUR PRICE: $134.90 Product Type: Hardcover Published: January 1995 |
| Additional Information |
| BISAC Categories: - Mathematics | Algebra - Linear - Mathematics | Probability & Statistics - General - Mathematics | Mathematical Analysis |
| Dewey: 512.57 |
| LCCN: 94027645 |
| Series: Cambridge Tracts in Mathematics (Hardcover) |
| Physical Information: 0.64" H x 6.26" W x 9.25" (0.85 lbs) 180 pages |
| Descriptions, Reviews, Etc. |
| Publisher Description: Infinite-dimensional Clifford algebras and their Fock representations originated in the quantum mechanical study of electrons. In this book, the authors give a definitive account of the various Clifford algebras over a real Hilbert space and of their Fock representations. A careful consideration of the latter's transformation properties under Bogoliubov automorphisms leads to the restricted orthogonal group. From there, a study of inner Bogoliubov automorphisms enables the authors to construct infinite-dimensional spin groups. Apart from assuming a basic background in functional analysis and operator algebras, the presentation is self-contained with complete proofs, many of which offer a fresh perspective on the subject. |