Spinors and Calibrations

Zusammenfassung Progress in mathematics is based on a thorough understanding of the mathematical objects under consideration. This book offers a collection of examples. It covers: Riemannian, symplectic, Kadahler, hyperKadahler, as well as complex and quaternionic. [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.

Klappentext
Perspectives in Mathematics J. Coates, S. Helgason, Editors

Inhalt
[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.