Spinors in Hilbert Space

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.