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Spinors in Hilbert Space by Roger Plymen, Paul Robinson, Bela Bollobas

Spinors in Hilbert Space

by Roger Plymen , Paul Robinson , Bela Bollobas
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Book cover type: Hardcover
  • ISBN13: 9780521450225
  • Binding: Hardcover
  • Subject: N/A
  • Publisher: Cambridge University Press
  • Publisher Imprint: Cambridge University Press
  • Publication Date:
  • Pages: 180
  • Original Price: USD 159.0
  • Language: English
  • Edition: N/A
  • Item Weight: 386 grams
  • BISAC Subject(s): Algebra / Linear

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.

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