The spinorial chessboard (Book, 1988) []
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The spinorial chessboard

Author: Paolo Budinich; Andrzej Trautman
Publisher: Berlin ; Heidelberg ; New York [etc] : Springer, cop. 1988.
Series: Trieste notes in physics.
Edition/Format:   Print book : EnglishView all editions and formats

Spinor theory is an important tool in mathematical physics in particular in the context of conformal field theory and string theory. Not only students but also researchers will welcome this book for  Read more...


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Document Type: Book
All Authors / Contributors: Paolo Budinich; Andrzej Trautman
ISBN: 0387190783 9780387190785 3540190783 9783540190783
OCLC Number: 490557090
Description: 1 vol. (VIII-128 p.) : fig. ; 25 cm.
Contents: 1. Introduction.- 1.1 A Little History.- 1.2 Null Elements and Simple Spinors.- 1.3 About the Present Work.- 1.4 Motivation and Outlook.- 2. Notation and Terminology.- 3. Vector Spaces and Inner Products.- 3.1 Complex Structure in a Real Vector Space.- 3.2 Quaternionic Structure in a Real Vector Space.- 3.3 Complex Conjugation and Hermitean Forms.- 3.4 Real and Quaternionic Structures in a Complex Vector Space.- 3.5 Inner Products in Vector Spaces.- 4. Algebras and Their Representations.- 4.1 Definitions.- 4.2 Simple Algebras.- 4.3 Antiautomorphisms and Inner Products.- 4.4 Real Algebras.- 4.5 Graded Algebras.- 5. General Properties of Clifford Algebras.- 5.1 Definition and General Properties of Clifford Algebras.- 5.2 The Vector Space Structure of Clifford Algebras.- 5.3 The Graded Structure of Clifford Algebras.- 5.4 The Volume Element and Hodge Duality.- 5.5 Relation Between the Clifford Algebras of Vector Spaces of Adjacent Dimension.- 6. Complex Clifford Algebras.- 6.1 Dirac and Weyl Spinors.- 6.2 The Inner Products.- 6.3 Extensions of Representations.- 6.4 The Wall Groups.- 7. Real Clifford Algebras.- 7.1 The Index Periodicity.- 7.2 Charge Conjugation and Majorana Spinors.- 7.3 The Dirac Forms.- 7.4 Clifford Algebras of Euclidean Spaces.- 7.5 The Spinorial Chessboard.- 7.6 Summary.- References.
Series Title: Trieste notes in physics.
Responsibility: P. Budinich, A. Trautman.


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