000			03080nam a22003858i 4500
001			CR9780511526022
003			UkCbUP
005			20200124160233.0
006			m|||||o||d||||||||
007			cr||||||||||||
008			090406s2001||||enk o ||1 0|eng|d
020			_a9780511526022 (ebook)
020			_z9780521005517 (paperback)
040			_aUkCbUP _beng _erda _cUkCbUP
050	0	0	_aQA199 _b.L68 2001
082	0	0	_a512/.57 _221
100	1		_aLounesto, Pertti, _eauthor.
245	1	0	_aClifford algebras and spinors / _cPertti Lounesto.
246	3		_aClifford Algebras & Spinors
250			_aSecond edition.
264		1	_aCambridge : _bCambridge University Press, _c2001.
300			_a1 online resource (ix, 338 pages) : _bdigital, PDF file(s).
336			_atext _btxt _2rdacontent
337			_acomputer _bc _2rdamedia
338			_aonline resource _bcr _2rdacarrier
490	1		_aLondon Mathematical Society lecture note series ; _v286
500			_aTitle from publisher's bibliographic system (viewed on 05 Oct 2015).
505	0	0	_tVectors and linear spaces -- _tComplex numbers -- _tBivectors and the exterior algebras -- _tPauli spin matrices and spinors -- _tQuaternions -- _tFourth dimension -- _tCross product -- _tElecromagnetism -- _tLorentz transformations -- _tDirac equation -- _tFierz identities and boomerangs -- _tFlags, poles and dipoles -- _tTilt to the opposite metric -- _tDefinitions of the clifford algebra -- _tWitt rings and brauer groups -- _tMatrix representations and periodicity of 8 -- _tSpin groups and spinor spaces -- _tScalar products of spinors and the chessboard -- _tMöbius transformations and vahlen matrices -- _tHypercomplex analysis -- _tBinary index sets and walsh functions -- _tChevalley's construction and characteristic 2 -- _tOctonions and triality.
520			_aIn 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	_aClifford algebras.
650		0	_aSpinor analysis.
776	0	8	_iPrint version: _z9780521005517
830		0	_aLondon Mathematical Society lecture note series ; _v286.
856	4	0	_uhttps://doi.org/10.1017/CBO9780511526022
999			_c517771 _d517769