Spinors and Calibrations

Inbunden, Engelska, 1990

Av F. Reese Harvey, F. Reese (Rice University) Harvey

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Progress in mathematics is based on a thorough understanding of the mathematical objects under consideration, and yet many textbooks and monographs proceed to discuss general statements and assume that the reader can and will provide the mathematical infrastructure of examples and counterexamples. This book makes a deliberate effort to correct this situation: it is a collection of examples. The following table of contents describes its breadth and reveals the underlying motivation--differential geometry--in its many facets: Riemannian, symplectic, K*adahler, hyperK*adahler, as well as complex and quaternionic.

Produktinformation

Utgivningsdatum1990-04-25
Mått152 x 229 x undefined mm
Vikt650 g
FormatInbunden
SpråkEngelska
Antal sidor323
FörlagElsevier Science
ISBN9780123296504

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[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.