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003			SA-PMU
005			20210418124033.0
008			151204t20162016enk b 001 0 eng d
010			_a 2015959276
040			_aYDXCP _beng _erda _cDLC _dYDXCP _dBDX _dBTCTA _dCDX _dOCLCF _dGZQ _dCHVBK _dOCLCO _dU3G _dOCLCQ
020			_a9780198782926
020			_a0198782926
035			_a(OCoLC)933337412
042			_alccopycat
050	0	0	_aQC20.7.C55 _bV39 2016
082	0	4	_a512/.57 _223
100	1		_aVaz Jr., Jayme, _eauthor.
245	1	3	_aAn introduction to Clifford algebras and spinors / _cJayme Vaz, Jr., Roldão da Rocha, Jr.
246	3	0	_aClifford algebras and spinors
250			_aFirst edition.
264		1	_aOxford, United Kingdom : _bOxford University Press, _c2016.
264		4	_c©2016
300			_axiv, 242 pages ; _c26 cm
336			_atext _btxt _2rdacontent
337			_aunmediated _bn _2rdamedia
338			_avolume _bnc _2rdacarrier
504			_aIncludes bibliographical references (pages 231-237) and index.
505	0	0	_gMachine generated contents note: _g1. _tPreliminaries -- _g1.1. _tVectors and Covectors -- _g1.2. _tThe Tensor Product -- _g1.3. _tTensor Algebra -- _g1.4. _tExercises -- _g2. _tExterior Algebra and Grassmann Algebra -- _g2.1. _tPermutations and the Alternator -- _g2.2. _tp-Vectors and p-Covectors -- _g2.3. _tThe Exterior Product -- _g2.4. _tThe Exterior Algebra (V) -- _g2.5. _tThe Exterior Algebra as the Quotient of the Tensor Algebra -- _g2.6. _tThe Contraction, or Interior Product -- _g2.7. _tOrientation, and Quasi-Hodge Isomorphisms -- _g2.8. _tThe Regressive Product -- _g2.9. _tThe Grassmann Algebra -- _g2.10. _tThe Hodge Isomorphism -- _g2.11. _tAdditional Readings -- _g2.12. _tExercises -- _g3. _tClifford, or Geometric, Algebra -- _g3.1. _tDefinition of a Clifford Algebra -- _g3.2. _tUniversal Clifford Algebra as a Quotient of the Tensor Algebra -- _g3.3. _tSome General Considerations -- _g3.4. _tProm the Grassmann Algebra to the Clifford Algebra -- _g3.5. _tGrassmann Algebra versus Clifford Algebra -- _g3.6. _tNotation -- _g3.7. _tAdditional Readings -- _g3.8. _tExercises -- _g4. _tClassification and Representation of the Clifford Algebras -- _g4.1. _tTheorems on the Structure of Clifford Algebras -- _g4.2. _tThe Classification of Clifford Algebras -- _g4.3. _tIdempotents and Representations -- _g4.4. _tClifford Algebra Representations -- _g4.5. _tAdditional Readings -- _g4.6. _tExercises -- _g5. _tClifford Algebras, and Associated Groups -- _g5.1. _tOrthogonal Transformations and the Cartan -- Dieudonne Theorem -- _g5.2. _tThe Clifford -- Lipschitz Group -- _g5.3. _tThe Pin Group and the Spin Group -- _g5.4. _tConformal Transformations in Clifford Algebras -- _g5.5. _tAdditional Readings -- _g5.6. _tExercises -- _g6. _tSpinors -- _g6.1. _tThe Babel of Spinors -- _g6.2. _tAlgebraic Spinors -- _g6.3. _tClassical Spinors -- _g6.4. _tSpinor Operators -- _g6.5. _tA Comparison of the Different Definitions of Spinors -- _g6.6. _tThe Inner Product in the Space of Algebraic Spinors -- _g6.7. _tThe Triality Principle in the Clifford Algebraic Context -- _g6.8. _tPure Spinors -- _g6.9. _tDual Rotations, and the Penrose Flagpole -- _g6.10. _tWeyl Spinors in Cl3,0 -- _g6.11. _tWeyl Spinors in the Clifford Algebra Cl0,3 H H -- _g6.12. _tSpinor Transformations -- _g6.13. _tSpacetime Vectors as Paravectors of Cl3,0 from Weyl Spinors -- _g6.14. _tParavectors of Cl4,1 in Cl3,0 via the Periodicity Theorem -- _g6.15. _tTwistors as Geometric Multivectors -- _g6.16. _tSpinor Classification According to Bilinear Covariants -- _g6.17. _tAdditional Readings -- _g6.18. _tExercises -- _gAppendix _tA The Standard Two-Component Spinor Formalism -- _gA.1. _tWeyl Spinors -- _gA.2. _tContravariant Undotted Spinors -- _gA.3. _tCovariant Undotted Spinors -- _gA.4. _tContravariant Dotted Spinors -- _gA.5. _tCovariant Dotted Spinors -- _gA.6. _tNull Flags and Flagpoles -- _gA.7. _tThe Supersymmetry Algebra -- _gAppendix B _tList of Symbols.
650		0	_aClifford algebras.
650		0	_aSpinor analysis.
650		7	_aSpinor analysis _2fast _0(OCoLC)fst01129990
650		7	_aClifford algebras. _2fast _0(OCoLC)fst00864221
650		7	_aClifford-Algebra _2gnd
650		7	_aSpinoranalysis _2gnd
700	1		_aRocha Jr., Roldão da, _d1976- _eauthor.
938			_aBrodart _bBROD _n114742537
938			_aBaker and Taylor _bBTCP _nBK0018305664
938			_aCoutts Information Services _bCOUT _n33160799
938			_aYBP Library Services _bYANK _n12757143
029	1		_aAU@ _b000057558228
029	1		_aCHDSB _b006614866
029	1		_aCHVBK _b365678821
942			_cBOOK
994			_aZ0 _bSUPMU
948			_hNO HOLDINGS IN SUPMU - 64 OTHER HOLDINGS
596			_a1 2
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