National Science Library of Georgia

Clifford algebras and spinors / (Record no. 517771)

MARC details
000 -LEADER
fixed length control field 03080nam a22003858i 4500
001 - CONTROL NUMBER
control field CR9780511526022
003 - CONTROL NUMBER IDENTIFIER
control field UkCbUP
005 - DATE AND TIME OF LATEST TRANSACTION
control field 20200124160233.0
006 - FIXED-LENGTH DATA ELEMENTS--ADDITIONAL MATERIAL CHARACTERISTICS--GENERAL INFORMATION
fixed length control field m|||||o||d||||||||
007 - PHYSICAL DESCRIPTION FIXED FIELD--GENERAL INFORMATION
fixed length control field cr||||||||||||
008 - FIXED-LENGTH DATA ELEMENTS--GENERAL INFORMATION
fixed length control field 090406s2001||||enk o ||1 0|eng|d
020 ## - INTERNATIONAL STANDARD BOOK NUMBER
International Standard Book Number 9780511526022 (ebook)
020 ## - INTERNATIONAL STANDARD BOOK NUMBER
Cancelled/invalid ISBN 9780521005517 (paperback)
040 ## - CATALOGING SOURCE
Original cataloging agency UkCbUP
Language of cataloging eng
Description conventions rda
Transcribing agency UkCbUP
050 00 - LIBRARY OF CONGRESS CALL NUMBER
Classification number QA199
Item number .L68 2001
082 00 - DEWEY DECIMAL CLASSIFICATION NUMBER
Classification number 512/.57
Edition number 21
100 1# - MAIN ENTRY--PERSONAL NAME
Personal name Lounesto, Pertti,
Relator term author.
245 10 - TITLE STATEMENT
Title Clifford algebras and spinors /
Statement of responsibility, etc Pertti Lounesto.
246 3# - VARYING FORM OF TITLE
Title proper/short title Clifford Algebras & Spinors
250 ## - EDITION STATEMENT
Edition statement Second edition.
264 #1 - Production, Publication, Distribution, Manufacture, and Copyright Notice (R)
Place of production, publication, distribution, manufacture (R) Cambridge :
Name of producer, publisher, distributor, manufacturer (R) Cambridge University Press,
Date of production, publication, distribution, manufacture, or copyright notice 2001.
300 ## - PHYSICAL DESCRIPTION
Extent 1 online resource (ix, 338 pages) :
Other physical details digital, PDF file(s).
336 ## - Content Type (R)
Content type term (R) text
Content type code (R) txt
Source (NR) rdacontent
337 ## - Media Type (R)
Media type term (R) computer
Media type code (R) c
Source (NR) rdamedia
338 ## - Carrier Type (R)
Carrier type term (R) online resource
Carrier type code (R) cr
Source (NR) rdacarrier
490 1# - SERIES STATEMENT
სერიის ცნობა London Mathematical Society lecture note series ;
Volume number/sequential designation 286
500 ## - GENERAL NOTE
General note Title from publisher's bibliographic system (viewed on 05 Oct 2015).
505 00 - FORMATTED CONTENTS NOTE
Title Vectors and linear spaces --
-- Complex numbers --
-- Bivectors and the exterior algebras --
-- Pauli spin matrices and spinors --
-- Quaternions --
-- Fourth dimension --
-- Cross product --
-- Elecromagnetism --
-- Lorentz transformations --
-- Dirac equation --
-- Fierz identities and boomerangs --
-- Flags, poles and dipoles --
-- Tilt to the opposite metric --
-- Definitions of the clifford algebra --
-- Witt rings and brauer groups --
-- Matrix representations and periodicity of 8 --
-- Spin groups and spinor spaces --
-- Scalar products of spinors and the chessboard --
-- Möbius transformations and vahlen matrices --
-- Hypercomplex analysis --
-- Binary index sets and walsh functions --
-- Chevalley's construction and characteristic 2 --
-- Octonions and triality.
520 ## - SUMMARY, ETC.
Summary, etc In this book, Professor Lounesto offers a unique introduction to Clifford algebras and spinors. The initial chapters could be read by undergraduates; vectors, complex numbers and quaternions are introduced with an eye on Clifford algebras. The next chapters will also interest physicists, and include treatments of the quantum mechanics of the electron, electromagnetism and special relativity with a flavour of Clifford algebras. This book also gives the first comprehensive survey of recent research on Clifford algebras. A new classification of spinors is introduced, based on bilinear covariants of physical observables. This reveals a new class of spinors, residing between the Weyl, Majorana and Dirac spinors. Scalar products of spinors are classified by involutory anti-automorphisms of Clifford algebras. This leads to the chessboard of automorphism groups of scalar products of spinors. On the analytic side, Brauer-Wall groups and Witt rings are discussed, and Caucy's integral formula is generalized to higher dimensions.
650 #0 - SUBJECT ADDED ENTRY--TOPICAL TERM
Topical term or geographic name as entry element Clifford algebras.
650 #0 - SUBJECT ADDED ENTRY--TOPICAL TERM
Topical term or geographic name as entry element Spinor analysis.
776 08 - ADDITIONAL PHYSICAL FORM ENTRY
Display text Print version:
International Standard Book Number 9780521005517
830 #0 - SERIES ADDED ENTRY--UNIFORM TITLE
Uniform title London Mathematical Society lecture note series ;
Volume number/sequential designation 286.
856 40 - ELECTRONIC LOCATION AND ACCESS
Uniform Resource Identifier <a href="https://doi.org/10.1017/CBO9780511526022">https://doi.org/10.1017/CBO9780511526022</a>

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