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. The book will therefore appeal to a wide audience of graduate students and researchers in mathematics and mathematical physics.Read more
- First book on subject that is mathematically correct
- Can be used as graduate text
- Many new and relatively simple proofs
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- Date Published: January 1995
- format: Hardback
- isbn: 9780521450225
- length: 180 pages
- dimensions: 229 x 152 x 14 mm
- weight: 0.44kg
- availability: Available
Table of Contents
1. Clifford algebras
2. Fock representations
3. Implementation and equivalence
4. Spin groups
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