[contents checked against book 8/14/90 TC] CONTENTS: Classical Groups I. The Eight Types of Inner Product Spaces. Classical Groups II. Euclidean/Lorentzian Vector Spaces. Differential Geometry. Normed Algebras. Calibrations. Matrix Algebras. Spinors: The Clifford Algebras (continued). The Groups Spin and Pin. The Clifford Algebras Cl(r,s) as Algebras. The Split Case Cl(p,p). Inner Products on the Spaces of Spinors and Pinors. Low Dimensions.
The book will be a welcome supplement to standard texts on Lie theory....It provides concrete material to those who study and contribute to the interesting developments in spin geometry and Twsitor theory with applications to general relativity. --MATHEMATCIS AND COMPUTERS IN SIMULATION